Can you ovulate 30 days after the first day of your last period?

Every women's cycle is different, but this is unlikely. Most of the time you ovulate anywhere from 12-20 days after LMP..

It's possible to be ovulating at anytime, although it's impossible to really just "know" without some kind of help.

Do you chart your cycles and such?

This page may help you.

Ovulation : American Pregnancy Association

True, it's unlikely to ovulate 30 days after the last period, but you should be on your period again around that time if your cycle is normal.

Either way, it's unlikely but possible.

Try to use this ovulation calendar tool Ovulation Calendar | Advanced Woman Calendar - pregnancy ovulation calendar by eOvulation to trace your cycle and find the date of ovulation.