Yes—color film can be developed in black-and-white chemicals, but the result will be monochrome and usually not as good as proper color processing.

C-41 color negative film generally works better than E-6 slide film in black-and-white developer. Expect usable black-and-white images, but with reduced quality compared with normal C-41 processing. Reported effects include more visible grain and lower overall image quality.

E-6 film tends to be less satisfactory in black-and-white developer. You may get low contrast and a dark brown cast in the negative.

With some Kodak color negative films, the film base may retain an orange mask, but the negatives can still be scanned or printed.

So the short answer is: it won’t produce color images, and results are experimental rather than optimal—but it can work if you want a black-and-white outcome from color film. If you try it, use film and subjects you can afford to lose, since results are unpredictable.