Do you mean the actual button at the bottom of the story template? If so no you can't. But you can store the template there.
Printable View
Do you mean the actual button at the bottom of the story template? If so no you can't. But you can store the template there.
So you can drag the link for the story template to the hot bar, which will open the story template up so you can then click the generate button. But you can not drag the generate button itself to the hotbar.