Yes you can.
Place ❶ card from your discard pile in support.
You can place cards that you just used to cast this Spell in Support, since they are immediately
discarded. If you have no empty Support slot, this Spell has no effect.
See "Cheat Sheet for students looking for answers" in Files section.
Btw. Frost Mirror is surprisingly powerful for a level 1 Spell. I have yet to see a win without that spell in the game.