If I amend my return to claim my son as my dependent, even though I do not work and have no income, will my refund increase?

My significant other and I are not married and we live off of his structured settlements. Because of our marital status I can't claim his income as my own. My ex-husband and I decided this year I would claim our son, but that was after I had already filed. When I attempt to amend my return now, nothing changes as far as what I get back and I am confused if I am doing something wrong or if it's because I have no income.