YES. It can be possible.
For New Huawei devices launched after the ban, Google Play Store and Google Play services might not work in them, however, for old Huawei devices which were launched before the ban, everything may work perfectly fine.
2ndly, if you do not have a Google account, you can still download apks from different links (some are considered safe and secure, like apkmirror, apkcombo, etc.) and install, and they might work fine.
YES, they might depend on the Google Play services (if not the Play Store), and if its not working, then some Apps might face issues in their proper functioning.
I hope, it helps and guides. Thank you.