Can Cats be Ticklish?

I have two cats (obligatory link) and I’ve been trying to decide if Prozac is ticklish.

Evidence for:
If I gently stroke him, when I’m done he’ll shake himself. I will shake myself similarly in the same situation.
He does not do that when I more vigorously scratch him.

Against:
He doesn’t shake himself during the petting, only after.

I have attempted to experiment with Zoloft, but she is an unwilling subject. She also has claws (adoptees, Prozac came declawed. Please don’t pit me).