If a member of your Facebook friends tagged you in a post you don’t fancy, you can choose to remove yourself. See: How to Tag People or Pages in Facebook photos Using iPhone & Android Apps
How to Untag yourself from Facebook post tags
To remove a tag from a Facebook post you’ve been tagged in, log in to your Facebook account, go to the post, click on the V-like shaped icon at the right corner of the post and then select Remove Tag. See: How To Turn on Notifications on Facebook
How to remove tags from multiple posts at once
You can also remove tags from multiple posts at once on Facebook. To do that, follow this guide;
1. Go to your activity log
2. Click Photos in the left column
3. Click to check the box to the left of the posts you’d like to remove a tag from
4. Click Report/Remove Tags at the top of the page
5. Click Untag Photos to confirm
See: How to Remove a Tag From a Facebook Photo you’re Tagged In
Note that removed tags will no longer appear on the post or photo, but the post or photo is still visible to the audience it’s shared with.
People may be able to view the post or photo in places like News Feed or search results.