I have a bathtub and shower recess. I plan to remove the shower recess entirely and install a shower over the bath tub. Is it possible to run shower plumbing from my bath taps (which are on an external wall and the long side of the bath tub) so that it runs sideways, round the corner and then attaches to the internal wall on the short side of the tub.

i have a down the the stud 42x42 shower next to my bathtub and i'm considering all options for the shower. I see some glass kits that have the 2 fiberglass walls and then the other wall and door are glass. right now i can go in my shower stall and it's open to under the tub (will be fun cleaning out the debris from the wall there in the 'tub hole') so i'm assuming i can put something waterproof to 'cover up' the end of the tub then there will be the width of a 2x4 between the tub and the new glass shower. i guess it will look a bit weird? could fill it in with something? or totally bad idea? or would i try to build out the opposite wall and put the glass right up against the shower?