Below is a list of all pets and how they can/could be obtained.
Hive Store Pets
The following pets can currently be purchased from the Hive Store:

Can be purchased on the Hive Store.

Can be purchased on the Hive Store.

Can be purchased on the Hive Store.

Can be purchased on the Hive Store.

Can be purchased on the Hive Store.

Can be purchased on the Hive Store.

Can be purchased on the Hive Store.

Can be purchased on the Hive Store.

Can be purchased on the Hive Store.
Unobtainable Pets
The following pets are not currently obtainable:

Obtained by purchasing a limited edition Cubee plushie from Makeship.

Could be obtained during April Fool's Day 2022.

Obtained by purchasing the 2023 Block Friday bundle.

Obtained by purchasing the 2024 Block Friday bundle.

Obtained by purchasing the 2024 Winter Ticket on the Hive Store.

Obtained by purchasing the 2024 Winter Ticket on the Hive Store and completing a special quest.