No
What you guys don't understand is that Trump does best with voters that describe themselves as moderates and liberals. Republicans have been constantly attacking Trump for being close friends with the Clintons, yet his supporters still love him (because they are moderates and liberals). If anything, hugging Obama would help Trump a lot. Remember when Chris Christie was the front runner and he gave Obama a hug during Hurricane Sandy? That actually didn't hurt him amongst Republicans all that much and it actually helped him with independents. I remember when the media was going on and on about how Christie was a sane Republican who hugged Obama (which was a sign that he was willing to compromise with the Democrats, according to the media). I assume that the media would feel the same way towards Trump if he did this.