Can White win?

After a lot of queen manuevering, I played Qc4 to reach this position, and offered a draw. My opponent accepted. Was there any way to make progress, and how do you go about looking for a plan in such a position?

Unless your opponent was several points higher rated, you could have played on. maybe try h4, h5, f4. then push b4 some time.

Why would you offer a draw there? You have an extra pawn and winning chances. My plan would be to attack the a-pawn and try to force the exchange of queens. I don't know what theory says, but in practical terms amateur chess players make a mangle of these kinds of endings all the time... so you've definitely got chances.

The important thing is you risk nothing by playing on.  Just watch your back rank and any loose pawns and you'll be fine.  In positions like this just take your time and be patient.  White isn't guaranteed a win, but he has chances.

Your plan in general would be to advance your majority to create a passer.  With queens on though black would have much better chances due to perpetual checks and such.

So the more short them plan would be to activate your pieces (queen and knight) where they're in the center and or protecting your weak points and or hitting black points in an uncomfortable way.  You could try an h pawn push to disrupt his king cover or if you can get your queen on the 7th rank that's nice, if you can get him to move his a pawn a few times that's good too (easier to attack and maybe win). 

Just be patient and slowly improve.  First by trying to reach maximum activity with your knight and queen, then by shifting threats here and there.  If they're all defended and he hasn't moved the a pawn I'd go for kingside pawn pushes to try and break up black's king cover.  After that it's back to activity and maneuvering around what new weaknesses arise.

I got discouraged, I made no progress in 10 moves.

As soon as he accepted this draw, he resigned in our other game, so I suppose that's ok, lol

orange honda ur a good thinker u always hav long and thoughtful answers

That is exactly what was going through my mind. Thank you for you long and elaborative answer. It shall help me in my future games

These are difficult endgames to convert, because of the difficulty of avoiding perpetual check.  I'd agree that you might as well try though, unless you have better things to do.

I'd keep playing. It's an open position, but the Bishop is still stuck on one color, which can help you strategically. Plus, you have an extra pawn.

if ur black then move queen to h6 u hav a battery on king possibly leading to mate later on and you fork the knight!

 wait ur white never mind