I don’t believe so, I’m through most of the story and haven’t gotten any more.
Do note there are some cards you can only get by checking certain opponent’s decks and using stardust to craft them, or winning a best of three at a max link.

Originally posted by Hoboman1195:

Are there more than the main 4 booster packs unlockable? Haven't really gotten too deep into the game yet but curious on that.

No, those are the only boosters. You have one pack per element. For Celestial cards you will need to craft them and for Dark cards you will get them via battle rewards. Everything is listed in the Planodex in the menu.