Usually not. First it's important a reliable diagnosis has been made: complete stop of menstrual periods before age 40 to 42. Blood tests, fsh, etc., are helpful but don't make a diagnosis by themselves. If premature ovarian failure is confirmed, there's no reliable way to jump start cycles. There is an intermittent failure where cycles start again spontaneously, but this is too invovled for a short answer.
Depends. Traditional medicine would say no, that this is part of aging and some hormone replacement maybe okay for a short period of time if you need it. Integrative medicine tends to use hormone replacement to help patients feel better; they maybe able to normalize as well as optimize hormones depending on where you are, your medical condition, etc.