Yeah, you can invoke any aspect if you can sell it--I've had wizards invoke their own consequences for power to their spells, for example, saying they're boosting the power by tapping into the anger and pain of the injury.
I've also had it happen where someone invokes a Severe consequence against an enemy to say things like, "Well, with his sword stuck in my gut, he's at point blank range and can't dodge my shotgun," and getting a bonus that way.