A question that came up in my homework is as follows:
What does the question mean by "part"? Some but not all of? Some or all of? What do you mean by it?
The definition of partial functional dependency uses "partial" to mean some but not all of.
Check definitions of BCNF. The one that requires that no non-prime attribute be partially functionally dependent on any key also requires other things than you wrote. So your "if" is not correct. But if the assignment question's "part" means "part of but not all of" as in "partially dependent" then by the relevant definition of BCNF the relation is not in BCNF.
All candidate keys are superkeys. But the candidate keys are the superkeys that do not contain any smaller superkeys. Superkeys are involved in a different form of the definition of BCNF. But if BCNF is violated according to one definition and what you know, it can't possibly be allowed by another one.