"If I feel that a player should go or could go, why not sell him to one of the other top four?"
- Arsene Wenger, about Adebayor
It's feasible. Carlo Ancelotti, the man likely to the appointed the new Chelsea manger, fancies Adebayor and would like to work with him. Drogba's likely to leave at the end of the season. And if Chelsea are going to stick with a lone striker, they'll need to replace Drogba with someone with similar physical characteristics. There aren't many players who can play that role at the highest level. And Adebayor's one of the ones who can.
Adebayor doesn't work as a lone striker at the Arsenal. He's offside way too often. He doesn't impose himself on games anymore. He doesn't work for his team anymore. Instead, he drifts off to the left and tries to be Thierry Henry. He scores the odd great goal, and then fluffs easy chances. But I imagine he'll improves dramatically under a tactically astute manager like Ancelotti.
If someone tells Adebayor where to be, when to run, and to work like a packhorse in the mountains, then he will do so. Rio Ferdinand said he was the hardest striker to play against in the Premier League. Adebayor's fast, strong, tall, and has a penchant for the spectacular. He has a lot of gifts that are currently being wasted. Wenger's indulging him at the Arsenal, and if he was playing under someone who wouldn't tolerate nonsense, he'll probably thrive.
So I think Adebayor to Chelsea would be a good move for Adebayor. It'll be a good move for Chelsea. But more importantly, I think it'll be a good move for the Arsenal. It'll give us £25 million pounds and the chance to buy David Villa. Or Sammy Eto'o. Or Karim Benzema. Or ANYONE who isn't offside 5 or 6 times a frigging match...