Transfer a mount from one char to another?

I used the search function to no avail when trying to find an answer to this question. Also checked the tCg forums for the same answer, again, no dice.

I'm wondering if it's possible/allowed to move my Swift Spectral Tiger from one character on my account to another? I'm willing to bet it's not, but I want to ask, just i the off chance I can. I know the GM's are buried in tickets and I didn't want to waste their time with one on a question as unimportant as this.

Thanks for your time in this response.

-Geddy