You cannot package fonts accessed from the Adobe Fonts service. That service doesn't make font files available to you. Conceivably, if you are sending an InDesign package to your “printer” they should have access to those fonts directly since Creative Cloud membership provides that for all subscribers, including your “printer.”
In general, though, you should not be send InDesign source files and assets (fonts, linked images, etc.) to a print service provider. You should be sending an exported PDF/X-4 file with embedded fonts, live transparency, and ICC color management.