It's not very likely.
Hagrid, despite his many good qualities, has proven many times that he can be naive, easily fooled, rash and extremely emotional. So when one of the people he loves most is murdered in front of him and then placed in his arms, I doubt he'd be in the right state of mind to somehow feel a heartbeat through Harry's clothes or detect a slight inconsistency in Harry's body temperature.
And Hagrid definitely does not notice that Harry is alive in the book, most likely for those reasons (unless he's the world's greatest actor). He's devastated, weeps uncontrollably, is furious with Bane and only realizes something happened when Harry leaps out of his arms. So I really don't see the point of changing it in the movie only to never clearly show it, allude to it or have it affect the plot in any way.