You definitely can freeze them and as long as they’re completely thawed out (in a closed container to retain moisture), they should end up tasting really good still. If it’s a competition, I would wait until the last possible day to bake them, though that’s possibly superstitious behavior on my part regarding freshness. I got a bottom layer of a wedding cake to take home after an event at work, cut it into slices, wrapped them in foil, and froze them. I let each slice thaw in the foil when I was ready to eat them, and they tasted perfect.