The short answer is yes.
This is from Facebook platform policy:
Desktop web games off of Facebook.com may only use Facebook Login (Authentication, excluding user connections such as friend list), Social Plugins and publishing (e.g., Feed Dialog, Stream Publish, or Open Graph).
As you can see the feed dialog is ok.
Read the whole section 1.13 for special policy regarding games in this link https://developers.facebook.com/policy/