Can I lock damage to an animation in a region?

For a trap? like in a small region, use a frost trap cinamatic doodad and make it do damage if you enter that region when the animation is playing?

just make the animation show for a certain amount of time, during this time, set a variable to true or a number if you want. and if a unit enters whatever distance from location (you choose from your liking) and when a unit enters that spot, have a condition that the variable is true or whatever, and then subtract X amount of health from triggering unit. If you want the units to be frozen, just set their movement speed and change the coloring of the units.