Hello. I would like to setup an old URL redirection to a new URL. Is it possible if the old URL is expired and now is free to be bought?

Once you have bought the domain you can do all the normal things including redirection. See the wiki for details of how to handle this if the domain is registered by Bravenet.

Remember that Bravenet doesn't register country level domains so if you are after a .au, .ca, .uk or similar then you will have to go through a local registrar and follow their procedures.