Animation within character?

Hi, is it possible to add an animation (separate from the animations from the program) within the character somehow? My character is made from a scan of a watercolour + ink drawing, and I would like the lines to 'wobble' by having two different frames for each element of the character, so it looks like it's being redrawn. I can't see how a psd would be able to contain an animation like this (other than a timeline, but that doesn't work), but I thought I'd ask. Thank you.