You can use money to buy things people are willing to sell.
You can use power to get people to do they would not otherwise do.
Generally, if money is able to get people to do things they wouldn't otherwise do, there needs to be some sort of duress, or corruption. People who are content with what they have don't resort to prostitution or otherwise compromising their principles for money. Those who are held under crippling debt, or who come to have no principles, are much more inclined to do so.
Power is more subtle, and it is related to money, but no, they're not the same thing.