This is an interesting question, and of course is answered differently in the many versions of this legend which have been published since the 16th century. In some the doctor is damned, in others he is saved by various means for various reasons. My personal opinion would be no, he does not deserve damnation. The reason one could argue that he does is that he chooses of his own free will to make his pact in order to get what he wants, no matter the cost. What he wants is knowledge, the same as the tale of Adam and Eve. On the other hand, Doctor Faustus is tricked with subtle lies, also the same as Adam and Eve. Where in the Bible death comes through the actions of the first humans, and damnation becomes possible (perhaps probable) for humans, there is a way out offered by the God of the story. To me, this should also be an option for Faustus, for the same reason- he chose to act, but his choice was conditioned by a lie told by one who intended to harm him (Mephistopholes).