To get back on topic: No!

The opposite is true, the deflationary nature of bitcoin stimulates saving, just like gold and silver it rewards people for creating a certain degree of scarcity.

Bitcoin is the same as fiat when it comes to wealth distribution, people that have to little will have to spend/consume everything they get to survive and the happy few that have to match will keep on hoarding to inflate there holdings. This results in increasing scarcity and it will keep pushing the gap until the divide is so large that people no longer want to use fiat/bitcoin, at that point there true value will be known. It happened before, it is happening now and it will happen again ...

That said, bitcoin was not designed to solve the growing gap between wealthy and poor people. It was designed to create freedom in a very closed aspect of our society (money), it was designed to protect the freedom of people to take there money and do what ever they want and where ever they want to do it. Even more important is that it was designed to stop banks and/or governments from taking your money just because they believe that’s the best way to solve the crisis we are in!