As of now, there is no official word from Coinbase about whether or not they will be listing Max. Max is not currently listed on any major exchanges, so if Coinbase were to list Max, it would be a big deal for the project. However, there are a few reasons why Coinbase may not list Max. First, Max is a relatively new project and it is not as well known as some of the other coins that are already listed on Coinbase.
Second, Max is not yet available on any major exchanges, so there is less demand for it. Finally, Coinbase has been known to be conservative when it comes to listing new coins, so it is possible that they will not list Max until it is more established.