It's totally possible, and not hard to figure out.
How to do it:
Type in yourgroup.deviantart.com/badges/ if the group is awesome, the llama badge will already be in existence, and you can just press it.
If not, just change it to yourgroup.deviantart.com/badges/llama/ this will take you to the llama page.
There'll be a little green button that says "Give Llama"
Press the button.
Just in case you didn't get that.
Spread the word. Happy herding!