If I ever broke a skewer, I would probably just run some 3mm cord through the axle and tie nuts, or sticks, or knots or something on the ends to hold it together. I've replaced a broken drive side spoke with some nylon cord, it's great stuff to have around.

That gives me another idea, if you have a spare spoke, just stick that through the axle and then tighten it by wrapping it around the bottom of the fork dropouts. Gotta be tight enough that the fork can't flex open and drop your wheel.

Either way, it's an unlikely fix. Might as well bring a spare frame with you, "just in case"