As far as I know, not. At least for things like Combat 1 or such, these only work for the unit that has them. An exception is Medic 1, which works for all units on the same tile as the unit that has this promotion.
A question on that: do medic promotions stack? For example, you have 2 units with medic 1 in a stack, does this mean the stack gets healed for +20% per round, or is it still only +10%?