Yes, you can get tailesses *aka maxes* but they aren't easy to find and very expensive. You should also get two rats since they are so social and you'd never be able to buy two manxes. It would be way too expensive.

In a week, I ended up kissing those little tails.
Haha I love their tails too. Especially Icarus's. It's so soft that I brush it against my lips and it's feels so cool.