Yes, it is really possible, and lost 0,08BTC that way, only 16$ at that time, but much more now. However, since I placed a password to my wallet (yeah, was pretty stupid to don't put one : I thought I'd have to enter it each time I would get into my wallet 
), never had any problem 
!
), never had any problem !That is not the fault of the wallet, it is a users fault that your bitcoin was stolen. It is good that you learned your lesson. I hope you used a complex password to protect your wallet now.