It's for sure possible. But Amph is right, the fees there are unbelievable high. Even Bitcoinwitdrawal costs...

They only thing you can do is to contact the helpdesk in this case.
Maybe they can do something as you still have 2FA details / access.

It's risky to use BTC-E in UK. They do not really care for AML and don't even have a KYC ("Know Your Customer") policy.
So if you see this point, it is an illegal service in the United Kingdom.

Seems very suspicious. I'm pretty sure this is scam.