Not in total album sales, not in tour gross, not in cultural impact. Katy is doing better than Gaga right now (this is Gaga's flop era tho) and she has more successful singles, but she has a long way to overtake Gaga in the fields that matter the most albums and tours, so for the moment no. Good luck to her tho!
Edit: I forgot Katy will never have a song as big as Bad Romance and Poker Face, but yeah she has sold more singles in total, that was my point.