Yes but the evacuation is not called for by the captain via the P.A. until the Engine Start Levers are positioned to Cutoff.
Doesn't this action achieve the same result?
Pulling a fire switch will do the following:
1. Arm firing circuits
2. Allow fire switch to be rotated for discharge
3. Close engine fuel shut-off valve.
4. Trip the associated GCR (i.e. switches off the generator)
5. Close hydraulic supply to EDP & disarms its LP light (Not if APU)
6. Close engine bleed air valve (If APU will also close air inlet door)
7. Close thrust reverser isolation valve (Not if APU)
8. Spar fuel valve closes.
(Source:
www.b737.org.uk)
So the fire switch accomplishes more than the fuel cut-off does.