Can Frigid Touch make you go below 1 Might?

Yes, Frigid Touch can reduce a unit's Might below 1.

According to RiftJudge FAQ #9565 and RiftJudge FAQ #421, units can have negative Might values. While the game treats negative Might as 0 for purposes like combat or checking for lethal damage, the actual negative value is tracked internally for arithmetic operations.

If you use Frigid Touch (which gives -2 Might) on a unit with 1 Might:

1. Initial State: The unit has 1 Might.
2. Effect: The unit's Might becomes -1 (1 - 2 = -1).

For all game purposes (such as combat or checking if it dies), this -1 Might is treated as 0, but the -1 value is tracked internally. If you were to later apply a buff that increases its Might, that buff would be added to the -1 value.