You absolutely can influence your dreams. :)   Binaural audio can work, like hemi-sync.

But if you -really- want to expore the dreamworld, learn how to have lucid dreams. I have lucid dreams regularily, and they are quite a source for inspiration, and a very fascinating tool for exploring deeper parts of yourself.

Google for lucid dreaming, lucidity institute (best research on lucid dreaming in the west), or tibetan dream yoga if you are more of an eastern mindset.

Yes, lol, I'm a meditation nut. :)