No.
I don't think anyone should be joining the EU right now considering it's massive problems but...
Turkey isn't really in Europe, but msot of all it's just not ready. It's government isn't really what I would say is pro-European, and the country is still caught between western democracy and ideals and more regressive fundamental strains seen within the middle-east.
It borders too many volatile countries and regions, border control would thus be near impossible, the EU would have unsecured frontiers.
There is part of me sympathetic to Turkish wishes for membership, and in an ideal world I think Turkey would have a place. But we live in a world where even current member states are ambivalent about the EU, and some such as ours questioning continued membership. It's a sick institution and expansion isn't the answer.