though your question is in the Wii category, I'll presume you mean the PS2 game. if this is so, then no, you can only be Jango Fett, as it follows his story up to being hired by Count Dooku, prior to ATTACK OF THE CLONES.
(p.s.: it's a very good game, even without boba's e-5 carbine)
Boba Fett becomes a bounty hunter in episode II. === ===
Boba Fett .
It's not clear if you're asking which character has a bounty, or is a bounty hunter. So, if you're asking which Star Wars character has a bounty (on his head), that was Han Solo. If you're asking about a bounty hunter, there were several in the Star Wars universe. The most well known bounty hunter was Boba Fett.
There are many famous fictional bounty hunters. One of the most famous is Boba Fett from the Star Wars series.
Jango Fett is a Star Wars character. He is a bounty hunter from episode 2 and has blue and silver armor. Boba Fett is Jango's clone. Boba Fett was the first clone of jango fett made(the other ones were used in the republic and imperials army). Jango Fett is an infamous bounty hunter of the fictional world of Star Wars.
A robot of Star Wars and a very dangerous bounty hunter. He is one out-of-five robots created(creator is unknown).IG-88 was destroyed by Boba Fett while he followed him to Cloud City to destroy Boba Fett for a bounty.
Boba Fett is better because he has more skill and talent and also lived longer as a bounty hunter than Jango.
Boba Fett .
Boba Fett .
Just buy all the bounty hunter characters ( boba fett, bosk, ect.)
No.
I've heard he is helped by the bounty hunter Dengar. I've also heard he blows it up with his jet pack rocket.