Yes, it is possible. But it depends on how much you are currently saving and how much you are ready to put away for the long term. It's important to see investing as something you do for the long term. The experts say 5- 10 years.
If you already have a good savings habit and are sure you won't need your money for a few years, then yes, you could consider investing it. However, if you have very little savings, it might be better to consider building an emergency fund.