The DELETE statement operates on a single table and does not use a table alias. Therefore, your FROM clause must read FROM Tbl_Nodes.
You're probably looking for:
delete from Tbl_Nodes WHERE Part IN (SELECT Part FROM Data_Tree)
Note that this will remove all nodes from Tbl_Nodes that have a corresponding Part value in Data_Tree but does not remove any records from Data_Tree itself.
While SQL varies somewhat among vendors, as a general principle it's a mistake to learn SQL from MS Access and try to apply it to other products. MS Access features some very non-standard constructions.
WHERE N.Partmean, and how are Tbl_Nodes and Data_Tree correlated?