Not really. To fake the moon landing you would have required the complicity of hundreds, maybe even thousands of people. You'd have had to have signals transmitted from up near the moon itself so that they could be picked up as expected by monitoring bases around the world including Australia. And you'd have had to keep a lid on all of this for the past sixty years.
For OBL, you just had to have a handful of special forces people say that his body was thrown overboard. And potentially even just carry out a fake dumb raid. Also, the whole rationale about just dumping his body in the ocean out of respect for Islamic custom makes zero sense whatsoever.
Way I see it there are three most sensible possibilities:
- They had him years ago but kept it secret because it justified their presence in Afghanistan. (Well, justified to idiots but that aside...)
- They captured him alive and said he was dead for political purposes.
- The Special Forces that captured or killed him got a bit enthusiastic and threw him overboard and there's a thin fig-leaf of "we meant to do that" pasted over it.