Guildenstern:
Is it possible to get a stall warning when pulling out of a dive?
Absolutely.
It's called "high speed stall" or maybe "accelerated stall", and it occurs any time you're asking the wing to work beyond its max C
L. The attitude of the aircraft is immaterial.
In fact, what we usually call a common stall (1.0 g) is a special case; in general a stall occurs whenever (mass x g) exceeds the wing's aerodynamic lifting capacity.