As of now, there is no official word from Coinbase about whether or not they will support Enjin. However, given that Enjin is one of the leading platforms for developing and managing blockchain-based gaming assets, it is highly likely that Coinbase will eventually add support for it.
This would be a major boon for Enjin, as Coinbase is one of the most popular and user-friendly cryptocurrency exchanges. Adding support for Enjin would make it much easier for users to buy and sell ENJ tokens, as well as use them to purchase in-game items.
It is worth noting that Coinbase has been gradually adding support for more and more cryptocurrencies over the past year. So while there is no guarantee that they will eventually add support for Enjin, it seems like only a matter of time before they do.