I've had several instances where a player has been afk the whole game of One Card, and even a few games where all 3 of my opponents were afk. This drags on the game far too long and often times the game just stops. No cards are played by anyone and the only way to play another game is to quit and receive a 10 minute ban for "cheating". I'd like if there was a way to kick a player from a game if the other 3 people in the game were to say they were "cheating" (afking). There are many other games that offer this feature, I think it would be of much help in Star Planet. There obviously could be people who abuse this, however I see it doing a lot more good than bad.
The game getting stuck has nothing to do with AFK'ers. It happens when someone chooses a color (after playing a Color Change or Irena card) too slow.
And when that happens, the last thing you should do is quit.
The game will time out, 11 minutes after the cards were dealt, and you will get points as for a maximum-length game.
If you quit you get no points and can't play for 10 minutes anyway, so you're better off staying in the game and hoping everyone else does too. Because if one person quits, the game becomes partially unstuck: players still can't click their cards, but turns do move from one to the other and the AI plays for everyone. And then at the end (which usually happens at the same 11-minute timeout) the game punishes everyone for "AFK'ing" since they didn't play their cards and let the AI do it for them...
As for voting people out: no.
It would mean that anyone who's down to one card would get kicked out by the other three, who may not be friends but are all in agreement that they don't want him winning.
As Loonacm said, the game itself should be stricter with AFK'ers. It decides one is AFK after 3 rounds of them not playing. So, it should just kick them out, instead of continuing to play for them after waiting their turns out.
BTW, in my experience, there aren't that many AFK'ers. Lots of botters, but the bots do play, so they are far less of an annoyance. Some of the bots don't draw from the deck, so if they don't have a card to play their turn drags on, but that's not as bad as someone who never plays promptly. Nobody gains anything from truly AFK'ing, so people don't do that on purpose anymore.