Yes it can but make sure you understand your status and don't just assume that you can't get aid, you might well be able to.
What sort of convictions might affect the aid that I can receive?
Other than drug convictions, convictions for a forcible or non forcible sexual offense which are subject to an involuntary civil commitment upon completion of a period of incarceration for that offense your aid might be affected.
If I have been incarcerated for the said offense what aid can't I receive?