>No. The odds of tossing twice and getting 2 heads is 50/50 because they are two independent events regardless of how you would like them not to be. The odds of tossing 2 coins at once and having them both come up heads is calculated differently and is 1 in 4.

Why are you making a distinction between simultaneous and consecutive events - they are independent in both cases (and the probablilty is the same in both cases - .25)