misclicking is the same as touch move in otb chess -touch the wrong piece and your stuck with making that move- misclick is no draw!
Draw for miss clicking

If you play the game to win, you should... play to win. And if you don't, why bother about the result?

Tell them to stop using the drag and drop technique. Simply click the piece and click on the square on which it should land.
If someone plays an obvious miss click move, like Kf1 where you would expect 0-0, then it is not unreasonable to ask for the draw. However, if I am winning already, or my rating is much higher, I may not oblige.

Judit other Short the draw after a misclick, he declined. Good sportsmanship by both. Honestly at lower levels though it's hard to tell between a misclick and a badly calculated move though. I'd probably decline.

I move rooks along diagonals and bishops along files/ranks to avoid this in blitz. About queens... well, I try to trade them early.

Ka-ka happens. I lose a small percentage of my games due to misclick and depending on severity either continue or quit. At my level (barely above 1200) there's a resonable chance that opponent will mess up also and I will recover. I don't ask for a draw. It's a friggin game, not life-or-death.
If I notice a misclick by my opponent I will sometimes _offer_ a draw and sometimes give out an evil laugh and take the piece bwa ha ha ha... depending on rated/unrated game and points I would lose or gain.
My C$0.02 (U$0.015)

No.
That would open up a whole potential can of worms of designer mis-clicks to extract draws from very-slightly-worse positions.

I offer draws even if not misclick, sometimes. Big champ' often do that; misclick or blunder make no differences, the sport asks for being strong, even when defeated. What is played is played, game over, better pay attention next time.

If I can lose two games on completely seperate occasions by misclicking directly on the resign button when I am trying to claim a draw by repetition (obviously both occasions I was/we were in a massive time scramble) and all chess.com can do is laugh at my advice to change something about the software so that this doesn't happen then you should surely lose the game from the kind of misclick the OP refers to.

It should be standard practice to decline. While the short-term sportsmanship is nice, it is a great hindrance to long-term sportsmanship as it allows for manipulation by manipulators.

I play a lot using my smart phone and this happens a lot, many times in winning positions. It's frustrating but I just take it up the gut and move on...
I'll get to a blitz 1200 level a little later ! ;-)

If someome claims to miss click, and they ask for a draw because of it, should you give them the draw? Personally, I think they should get the draw because I think it is fair because if you play on without giving the draw and you win. Then you aren't really beating the guy, where as if he wouldn't have miss clicked, you may not have won.
Mis-clicking is the same as touch move in an OTB game.
If someome claims to miss click, and they ask for a draw because of it, should you give them the draw? Personally, I think they should get the draw because I think it is fair because if you play on without giving the draw and you win. Then you aren't really beating the guy, where as if he wouldn't have miss clicked, you may not have won.