While the original Huge Easter Cat isn't in the current egg rotation, the offers several new "huge" alternatives you can hatch right now:

Occasionally, players may put rare huge pets up for auction.

Can be found in hidden eggs during the Easter Egg Hunt that occurs every 4 hours in World 1.

Another rare drop from the Hidden Egg Hunt.

Found in the final event egg of the Spring World.

To maximize your chances of hatching any huge pet during these events, ensure you use (like Rose Tokens for the Luck Machine) and keep your Luck Machine fueled to avoid having your rare odds halved.