I certainly think so. C64 ones are interchangeable with VIC 20 decks. The only different one I'm aware of is the C16/Plus 4 tape deck, which instead of the spade edge type connector it had a mini din plug. Even they're compatible though, you just need a mini din - edge connector adapter. I have both types. In actual fact my C64 seems to prefer the C16/Plus 4 version.
I agree with Jeff. You should really be using a VIC 20.