Yes. As long as an FFL transfer is involved, you can cross state lines. The "other" classification applies at the federal level and since you're in a different state, the transfer is a federal issue. Florida itself is very firearm and self-defense friendly, so I don't think you'll have a problem at the state level, just be aware of your local laws. As long as Florida doesn't have an issue with stripped lowers (I'm 99% sure they don't) you're good to go.

