No, you can't. The second, third, fourth, and other bonuses are a part of a welcome package we talked about. To take advantage of the whole package, you need to claim every bonus. If you failed to claim your first bonus, you can't claim the second one. And if there's a third bonus incoming, you won't be able to claim it, either.
So, before you even think about the welcome bonuses, be sure to read the bonus policy and act accordingly. If you don't know the *basic* conditions to withdraw a bonus, just read the previous answer to the question.