Add pocket door in wall behind shower head and plumbing

I have a pretty small bathroom that has a door that swings out into a hallway. I'd like to change the door to be a pocket door that slides into the wall. The wall that it would slide into is a shower wall with the shower head and spouts and plumbing inside the wall. The main plumbing stack going to the roof does not run through this wall so this should not be a concern.

The door width is just shy of 29 inches. The wall width that it would slide into is just over 32 inches. The door jamb and wall cavity is just over 12 inches wide.

Based on these measurements would it be possible to convert this door to a pocket door and have enough room/clearance for everything without major rerouting of plumbing etc...?

I'm not familiar with plumbing so I don't know how deep the plumbing would go into the wall cavity. This is also an older house built in 1927 in case that matters too.

Pictures of wall, door, and cavity below for reference.