You are able to manually award users a badge.
To do this complete the following steps:
Site or Course administration > Badges > Manage Badges
Select the badge you want to add users too then click on the Recipients tab
(if this is the first time you are manually adding users the following warning will appear)
Click on Award badge, as you can see from the image below a list of users who can potentially be awarded the badge will show and you simply click on the user (so they are highlighted) and then click award badge and they will move to the Existing badge recipients column
To remove a badge you simply highlight the user in the existing badge column and click the revoke badge.