Yes you can. Density of the negatives won't be great, as your bog standard C41 doesn't have tons of silver in it compared to standard B&W. The density of C41 negs comes mainly from dye clouds formed during processing.
The orange mask of standard colour films can also be a PITA for printing onto standard B&W paper. Maskless films like Digibase, XP2, or reversal films designed for E6 (Or Kodachrome) don't have this problem.