I took out my lease agreement with Honda Financial and reviewed it for you (I am assuming that Honda is your lessor, as opposed to another financial institution). Towards the very bottom of the backside, it states that the lease is non-assignable which means you cannot transfer the lease to anyone without Honda's permission. It is my understanding that Honda normally would not give such a permission.
In fact, as I was finalizing my lease, I asked the finance manager if I could transfer the lease to my wife's name at some point in future and he said that Honda would not allow that even if I remain as a guarantor of some sort. So, transferring to a stranger would most likely be out of question.
Companies like Swapalease deal with only leases that are transferrable by their terms. For example, a BMW lease would spell out the exact penalty and process you need to follow for a transfer.
So, in summary, you can call Honda and try to work out a buyout, but I think they'd just tell you to surrender the car and pay the entire amounts due, or exercise your purchase option and then sell the car. But it can't hurt to give them a call and just see what they say. If you impress upon them that you are in a dire financial situation, maybe they would be willing to work with you to protect the residual value of the car. Good luck and let us know how that goes.
Mick