Nope. The mount for the faucet has to come loose from the back wall to get at it. Take the covers off the bands that hide the rivets, drill out the rivets, cut any sealant that holds the panel on, and it should come off all of a piece. The panel isn't attached to the lavatory, except maybe with sealant, so no extra work there. Next, you have to find a replacement that will fit after you put the pipe fittings on. One choice is to buy the brass body Phoenix shower valve because the supply stubbs are shorter than those on the plastic body valves. You have to get lock nuts for 1/2 inch pipe, nuts for 1/2 inch conduit, or old mounting washers and nuts from the lavatory faucet (You did want to replace that, didn't you?) in order to screw the ells on to connect the water. You can't use the plastic nuts supplied because they are so thick the pipe fittings won't screw down enough to seal. I used Watts push on fittings from Lowes to connect the water to the faucet, but Flair-it will likely work as well. The real problem is that there seems to be very little room in back of that faucet.
1978 Argosy 6 Metre Minuet
2006 Toyota Tacoma