No, 1 BTC won't be enough to become rich. Imagine you don't have any properties and goods and that you have to build your entire financial life with just 1 Bitcoin. The maximum you will be able to acquire with that money is a house or a car. Then how are you going to get rich this way? From where are you going to get money to maintain a house or a car? How will you generate income for a living? A single Bitcoin isn't enough, even if you live on the poorest nation in the world, I suppose...
1 BTC is helpful as a powerful booster to start an investment thinking on your future, but it won't raise your financial class status. You need much more money in every cases!