There’s no evidence of where the Third Blackfyre Rebellion happened at all, so it’s certainly possible.
However, it doesn’t strike me as good military strategy – it puts you right in the Stormlands with King’s Landing to your north and Dorne to your south, and at the end of the day you have a summer palace and not the actual seat of power in the Stormlands.
If it were me, I’d land in Yronwood lands and make a quick dash into the Reach.