Yes, he can claim that his account was hacked and then the twitter would lock the account and the only way to recover it would be to receive the code to either the email which was provided at the time of registration or if the previous user had verified his phone number in which case he will get the recovery code sent to his phone number and then he can reclaim the twitter back.
There was a scam accusation report where someone did just that and the deal was for 1 BTC + IIRC, but the person who got scammed had red trust and he also failed to provide the proofs required to back his claims, although it was later proven as the owner admitted himself that he restored his twitter back but because the person who got scammed wasn't really trusted, the case wasn't given much importance and the other person walked away.
Here it is :
https://bitcointalk.org/index.php?topic=1061357.0 
