Hey there @EnhiHUN -- if you mean the abilities that allow pixpets to take special paths in the adventure, such as flying, swimming, digging, etc., these are innate abilities that can't be taught or altered. In other words, the adventure abilities that your pet starts with are the only ones they'll ever have, unless you evolve them. These are species-specific abilities, so all Draxes will know how to dig, and all Altudraxes can fly, and so on.

If you're talking about battle techniques, you can teach your pet new ones by finding/buying scrolls in the adventure and applying them to your pet. However, not all scrolls will be compatible with your pet.

Please let me know if anything I said was confusing or if you have more questions! ^^