Yes, it is possible to mine without a lot of computing power, but the mined coin output would be lower. You have to choose the coins that require less mining capacity such as Monero, Monero is built as an alternative to avoid dependence upon GPU usage, it works on the basis of your processor power rather than
GPU. You can also mine Dogecoin, it doesn't demand the same mining power as Ethereum and other coins. So choose a coin that would be compatible with the hardware configuration you have and give mining a try and gradually upgrade your mining rig. Happy mining. Mining nowadays is literally printing money.