it is possible! you have a couple options to choose from: either "abandon" them and have them go to 'Adopt R Us' to get adopted by someone new, or you can transfer them over to a friend's account! if you go to 'Your Pets' theres a drop down arrow near each of your pets that displays those options at the bottom.
bear in mind it does cost 10k sP to abandon your pets, and your account must be 1 month old in order to do so. i see yours is only about 2 days old so you'll have to wait a bit til then! and since you're new, i'd like to just say welcome to subeta! :)