Actually there are some alternatives to the GooglePlay Store out there - all with different approaches. F-Droid's goal is to provide only FOSS (free open source sofware) Apps.
Others would be for example https://apkpure.com/
Back to you main question: YES you can access the Google Play Store and load Apps directly from there without an Google Account. As ...
I went under settings>apps ticked show system apps, and searched for 'google'. Found my google contacts sync there. Went through a bunch of relevant sounding system apps that didn't all have the contacts permission, and granted contact permissions. It was to several apps, so no telling which one actually made it work.