How to exit this while loop when the user presses enter

If user hit enter, it sends an empty string. So you can check to see if it is empty string or not. using walrus operator:

while inp := input("give id,name and degree or hit enter to exit"):
    Student.id, Student.name, Student.degree = inp.split(",")

without :=:

while True:
    inp = input("give id,name and degree or hit enter to exit")
    if not inp:
        break
    Student.id, Student.name, Student.degree = inp.split(",")

Just remove the try. The program will exit with an exception if the user just presses enter.

while True:
    Student.id, Student.name, Student.degree = input("give id,name and degree or hit enter to exit").split(",")

I would recommend you split this up into a number of steps to make it clearer and give you greater control over what is happening. For example:

while True:
    values = input("give id,name and degree or hit enter to exit: ")

    if values:
        values = values.split(',')
        
        if len(values) == 3:
            id, name, degree = values
            print(f"ID: {id}  Name: {name}  Degree: {degree}")
        else:
            print("Please enter the correct number of arguments")
    else:
        break  # just enter was pressed

This approach has the benefit of being able to spot when the user has entered an incorrect number of arguments.