Is it possible to sync Google Contacts with Outlook 365 contacts?
Yes, it is possible.
As @Luke the Geek pointed out in the comments, there are third-party utilities that will allow you to do this. This may be your best option if you have an older version of Windows.
But, there is a native method in Windows 10 (and likely other Windows platforms, such as their mobile ones) for accomplishing this: use the People app.
Essentially, you sync both Outlook and Google Contacts with People:
- Search from your taskbar/start menu for People
- Click on the gear on the lower-left to open Settings
- Click Add Account, and follow the prompts to add both your Google and Outlook accounts, and set up their sync:
- Be aware that you might need to use Exchange, not Outlook, depending on how your account is actually set up