Yes, Divi Booster is compatible with Divi 2.7.
I aim to keep Divi Booster compatible with the latest version of the Divi Theme, as well as all previous versions.
Note, however, that updates to Divi will occasionally cause some features of Divi Booster to stop working correctly. I aim to address these as quickly as possible, but if you notice anything not working as you'd expect, please let me know and I'll do my best to correct it.
Also, as you may know, Divi 2.4 introduced major changes to the Divi Theme. If you've been using Divi Booster with Divi 2.3 or earlier, you may like to read this post for tips on how to successfully migrate to Divi 2.4+.