I thought that this question would be interesting. Could a Dream Character ever have the ability to Change the dream scene or anything they want to do. Like be has powerful as you. Because it would be crazy for a DC to unleash such powers 
“whatever you believe…”
Lucid duel 
Probably if you believe so, would be awesome to fly with a DC or battle with him.
That would be really cool! When I finally have an LD, I totally have to offer to share my dream powers with a DC and see what happens! XD
Oh, but the real question is can you ever be as strong as a DC. 
Considering most DC-s can overpower you in normal dreams, but mostly c hoose not to, I think so. You could conjure up a dream character and imagine it/him/her to be a god.
Here’s a video clip where a guy (on this forum) describes a lucid dream in which a DC apparently prevented him from waking up for 45 minutes and made him fight him.
I herd a story once that a lucid dreamer convinced a DC that they were the dreamer but then everything got all shaky and he lost lucidity
First reaction is “Yes of course, if you believe it’s possible,” but I’m a little uncertain. You could imagine that some DC is as powerful as you, but you’d have the power to decide otherwise at any time. For a DC to really have your dream powers, you’d have to make yourself fully believe that they do. Imagine that happening and next thing you know you think you’re a DC and the DC thinks they’re the dreamer.
So, uh, I guess it probably is possible, but hopefully it’s only as temporary as you (or your subconscious) would like.
As Kirbypowered said above me, It’s hard to do and I’ve never done it. But I believe it could be possible with some effort. Usually DC’s are stronger than you when you have doubts or are not lucid at all. When you are lucid, you gain lots of power, because you realise, that it’s your dream.