Hi there. It is absolutely possible to become pregnant with both one fallopian tube and pcos. It can be a bit trickier though for two reasons. Your body will typically ovulate from different sides from cycle to cycle. So you need a cycle where you ovulate from the right ovary. PCOS can make timing difficult. Try an ovulation predictor kit. Because your cycles are irregular, start the strips around cycle day 7 (with day 1 being the first day of your menstrual period). Test around the same time every day, preferably late afternoon/early evening. This can help you determine the best time to have intercourse.
Also, if you haven't done so already, you might want to seek the assistance of a fertility specialist. Sometimes there are things they can do to regulate your cycle and help you out.
All the best.