She's had plenty of opportunity to stay busy, though. First, she has the disposable income to get into any number of hobbies. Instead she buys journals and does nothing with them.
She was allowed to tag along to Density's nursing home job before getting officially hired. She quit.
She landed a "government" call center job where she was making good money relative to what she was doing. She quit because sitting around was too much work for her.
Going back even further, she had the opportunity to go to college while living with Casey/Cassidy, but she blew that off too. And there's nothing stopping her from going back to school now, or even take online courses.
Unless we're talking about selling Amber into the slave trade, there's no way to force her have "something to do". She clearly doesn't want to do anything.