Can one work shoulders the day after a back workout?

My split:
Back
Chest
Rest
Legs
Arms
rest
rest if needed
Shoulders
rest?

Back workout:
4 sets deadlift
3 set weighted pull ups
3 set BB rows
3 set shrugs

Shoulders:
3 set DB press
3 set upright rows
2 set of front/side/rear superset

I know that my traps get worked with both back+shoulders, but I was more worried about my shoulders getting worked with back and not getting enough rest before chest day, than my traps being slightly worked from shoulder day.

Any suggestions or split changes welcome.