Yes, you can mine BTC at home. However, it's important to note that mining for BTC is not as simple as just clicking a button. In order to be successful, you'll need to invest in a good quality mining rig, which can be quite expensive.
You'll also need to have access to cheap electricity, as mining BTC uses a lot of power.
Additionally, you'll need to be located in an area with good internet connectivity, as mining requires a fast and stable connection. And finally, you'll need some patience and persistence, as it can take quite some time to earn enough BTC through mining to make a profit. But if you're willing and able to commit to all of that, then yes – BTC can be mined at home