Can someone convert to Judaism?

First, I would do some fieldtrips to local temples or synagogues or chabad houses and figure out which one agrees with you, or if you agree at all, BEFORE you contact the Rabbinical Council. Leg work must be done before you contact them. Conversions take a long time 1-3 years average, and from what I've been told, the Rabbinical Council gets about 100 applicants per year and maybe 10 make it through the conversion. It's serious and life changing, so learn all you can, see if you can find a Rabbi to help you or sign up for cles. Good Luck.