I only tested normal mode, so result may vary on hard, but you should be able to hit Aisha if you maxed your stats on every level (so 1500 before hitting level 2, then 1500 again before hitting 3, then getting 1500). Aisha is a very skilled level 3, so you need to make use of your MC's ability and always go over 999 on EACH level.
When it comes to hitting her, your character's agility needs to be over Aisha's dexterity. Hard, but not impossible.