Yes.
Thank you very much 
[Admin] Anti-Matter: I was in ur dimenshun, killin ur d00ds.
[Admin] Emperor Marcus Cole: Good job, Anti-Matter. Troll them.
Freedom, Virtue, Exalted
Also in case you don't know, for every year your account is active, you will get 1 free character slot which you can redeem on the server of your choice. You can't go over 36 slots tho.
I actually attempted to write the question in the subject line to get the simple 'yes' or 'no' answer, but low and behold, there aren't enough character spaces :-P
Question: If I were to server transfer, but I do not have enough avaliable spaces on the server I am transferring to, would I have to purchase a new character slot?
Apologies if this has been asked before.
[Admin] Anti-Matter: I was in ur dimenshun, killin ur d00ds.
[Admin] Emperor Marcus Cole: Good job, Anti-Matter. Troll them.
Freedom, Virtue, Exalted