What do you think? Is it really possible to become rich with 0.01 BTC in the future? If not, why? Your input will be greatly appreciated. Thank you very much.

The simple answer to this is Yes, you can be a rich person if you own only 0.01 BTC but you will not become wealthy anytime soon. It may take another 10 - 20 years and you will find yourself among the lucky person who owns 0.01 btc.
Many people who have 0.01 btc now, may not be having it after 10 years because usually people sell when the prices rise and wont wait so long. The best way is to save 0.01 in a separate wallet and never ever try to spent it.