A: I don't see why not!
A: Haven't done specifically this kind of thing, but generally I would avoid using tape in wet and dusty environments. The water will seep under the tape, and the bond between the rubber/polymer (basically glue) and the surface weakens, and the fine dust in dirty water will further block the tape from sticking to the surface. Very soon your waterproofing tape will come loose. If you want to seal a shower space, use caulk or silicone sealant. Equally cheap/inexpensive and can be found in the same store.