You can jump those stages, and in some cases, I'd completely recommend it. However, as I'm learning, that won't be leading to something that will last as the foundation will be based purely on the romantic/sexual side...
...and we all know that physical relationships burn out in time. However, a "rebound" of sorts may be just what the doctor is ordering for you right now, so I wouldn't dismiss it at all.
As long as you are up-front and honest going in, no one gets hurt. So, if you feel you would benefit from going straight to Step 3, then do it, but be up-front and honest w/the lucky bastard you find.
I'm pretty sure you are saying this a bit tongue-in-cheek, but I also feel there is a small sense of seriousness about your request, my dear.
I think you have every right to go for it right now. We're all only human after all, right?