Ok. Simple question (I hope): If I unlock the snow leopard pet on one server, will it also be available to my characters on another server?

I recently created a new character on Wayfinder who (as opposed to my primary character on Thelanis) began his life on lvl 7. Since it would be a lot easier to just level that character to lvl 8 and ask for an experience stone, this is something that has me thinking.