If I draw social security disability can I become a non working ordained minister?

Hi. Yes. The act of becoming ordained as a minister wouldn't have any effect on your Social Security disability (SSDI) benefits if doing so doesn't produce any earned income. Only earned income (i.e. gross wages or net self-employment income) might affect your SSDI benefits (https://www.ssa.gov/pubs/EN-05-10095.pdf).

Best, Jerry