Not quite sure what you are asking. Yes most plumbers would be able to modify the pipe layout. How pretty does it need to be? It might be possible to do it all with exposed pipe or perhaps you want it hidden in the wall? If so it will cost more.

Are the tiles still available? Ask the plumber if he can bury the pipe in the wall and repair the tiles? He might only want to do the pipe works and leave you to find someone to fit the tiles.

The main safety issue is with the electrics. Best get someone qualified to do that.

The easiest option would be to buy a new unit with cable & pipe entries on the same sides - the extra cost of a new unit would be less than the extra labour of a plumber and re-tiling.  Mira (as you mentioned) and Triton are the best makes.