How to programmatically add controls to a form in VB.NET

Yes.

Private Sub MyForm_Load(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles MyBase.Load
    Dim MyTextbox as New Textbox
    With MyTextbox
       .Size = New Size(100,20)
       .Location = New Point(20,20)
    End With
    AddHandler MyTextbox.TextChanged, AddressOf MyTextbox_Changed
    Me.Controls.Add(MyTextbox)

'Without a help environment for an intelli sense substitution
'the address name and the methods name
'cannot be wrote in exchange for each other.
'Until an equality operation is prior for an exchange i have to work
'on an as is base substituted.

End Sub

Friend Sub MyTextbox_Changed(sender as Object, e as EventArgs)
   'Write code here.
End Sub

Dim numberOfButtons As Integer
Dim buttons() as Button

Private Sub MyForm_Load(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles MyBase.Load
    Redim buttons(numberOfbuttons)
    for counter as integer = 0 to numberOfbuttons
        With buttons(counter)
           .Size = (10, 10)
           .Visible = False
           .Location = (55, 33 + counter*13)
           .Text = "Button "+(counter+1).ToString ' or some name from an array you pass from main
           'any other property
        End With
        '
    next
End Sub

If you want to check which of the textboxes have information, or which radio button was clicked, you can iterate through a loop in an OK button.

If you want to be able to click individual array items and have them respond to events, add in the Form_load loop the following:

AddHandler buttons(counter).Clicked AddressOf All_Buttons_Clicked 

then create

Private Sub All_Buttons_Clicked(ByVal sender As System.Object, ByVal e As System.EventArgs)
     'some code here, can check to see which checkbox was changed, which button was clicked, by number or text
End Sub

when you call: objectYouCall.numberOfButtons = initial_value_from_main_program

response_yes_or_no_or_other = objectYouCall.ShowDialog()

For radio buttons, textboxes, same story, different ending.

Public Class Form1
    Private boxes(5) As TextBox

    Private Sub Form1_Load(sender As System.Object, e As System.EventArgs) Handles MyBase.Load
        Dim newbox As TextBox
        For i As Integer = 1 To 5 'Create a new textbox and set its properties26.27.
        newbox = New TextBox
        newbox.Size = New Drawing.Size(100, 20)
        newbox.Location = New Point(10, 10 + 25 * (i - 1))
        newbox.Name = "TextBox" & i
        newbox.Text = newbox.Name   'Connect it to a handler, save a reference to the array & add it to the form control.
        AddHandler newbox.TextChanged, AddressOf TextBox_TextChanged
        boxes(i) = newbox
        Me.Controls.Add(newbox)
        Next
    End Sub

    Private Sub TextBox_TextChanged(sender As System.Object, e As System.EventArgs)
        'When you modify the contents of any textbox, the name of that textbox
        'and its current contents will be displayed in the title bar

        Dim box As TextBox = DirectCast(sender, TextBox)
        Me.Text = box.Name & ": " & box.Text
    End Sub
End Class

To add controls dynamically to the form, do the following code. Here we are creating textbox controls to add dynamically.

Public Class Form1
    Private m_TextBoxes() As TextBox = {}

    Private Sub Button1_Click(ByVal sender As System.Object, _
                              ByVal e As System.EventArgs) _
                              Handles Button1.Click

        ' Get the index for the new control.
        Dim i As Integer = m_TextBoxes.Length

        ' Make room.
        ReDim Preserve m_TextBoxes(i)

        ' Create and initialize the control.
        m_TextBoxes(i) = New TextBox
        With m_TextBoxes(i)
            .Name = "TextBox" & i.ToString()
            If m_TextBoxes.Length < 2 Then
                ' Position the first one.
                .SetBounds(8, 8, 100, 20)
            Else
                ' Position subsequent controls.
                .Left = m_TextBoxes(i - 1).Left
                .Top = m_TextBoxes(i - 1).Top + m_TextBoxes(i - _
                    1).Height + 4
                .Size = m_TextBoxes(i - 1).Size
            End If

            ' Save the control's index in the Tag property.
            ' (Or you can get this from the Name.)
            .Tag = i
        End With

        ' Give the control an event handler.
        AddHandler m_TextBoxes(i).TextChanged, AddressOf TextBox_TextChanged

        ' Add the control to the form.
        Me.Controls.Add(m_TextBoxes(i))
    End Sub

    'When you enter text in one of the TextBoxes, the TextBox_TextChanged event
    'handler displays the control's name and its current text.
    Private Sub TextBox_TextChanged(ByVal sender As  _
    System.Object, ByVal e As System.EventArgs)
        ' Display the current text.
        Dim txt As TextBox = DirectCast(sender, TextBox)
        Debug.WriteLine(txt.Name & ": [" & txt.Text & "]")
    End Sub
End Class

You can get your Button1 location and than increase the Y value every time you click on it.

Public Class Form1
    Dim BtnCoordinate As Point
    Private Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click
        Dim btn As Button = New Button
        BtnCoordinate.Y += Button1.Location.Y + 4
        With btn
            .Location = New Point(BtnCoordinate)
            .Text = TextBox1.Text
            .ForeColor = Color.Black
        End With
        Me.Controls.Add(btn)
        Me.StartPosition = FormStartPosition.CenterScreen
    End Sub

    Private Sub Form1_Load(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles MyBase.Load
        Button1Coordinate = Button1.Location
    End Sub
End Class