This is a question that many people are asking, given the recent surge in interest in the Cardano project. Unfortunately, as of right now, the answer is no.
Coinbase does not support staking of any kind on its platform.
This is likely due to the fact that Cardano is still a relatively new project and thus isn’t as well-known or trusted as some of the more established cryptocurrencies. Coinbase likely doesn’t want to take on any extra risk by supporting staking for a coin that might not be around for very long.
However, this could change in the future if Cardano becomes more popular and trusted. So if you’re interested in staking Cardano, you’ll just have to wait and see if Coinbase decides to add support for it down the line.