Incorrect, he came down with them with the drop.
We are shown as he is dissecting a facehugger in the lab, as the marines prepare to enter the hive. We next see him in a conversation after the dropship crash, when the survivors discuss the next steps. He volunteers to go out and call down the second dropship using a radio tower somewhere on the planetoid surface, some distance away from the main buildings of the colony.
OP has a good question: he should have been there as the rest of them, waiting for Ferro to arrive with the dropship to board it. He is not shown in that assembly scene - maybe the original plan was to pick everyone else up, then make a quick stop to pick up Bishop and the facehuggers (he would have insisted to bring them). We don't know for sure, as it was not discussed onscreen, but this is my guess as to why he was not present at the crash.
You're right, thanks.