Can I induce a period?

I (18f) am struggling with really bothersome PMS symptoms. A lot of dizziness, fainting, nausea, lack of energy, panic attacks, difficulty focusing, and just not really being that nice to be around.

I track my periods and when PMS symptoms show up. My issue is that the PMS stuff is fairly regular, about every 4-5 weeks, but I only get two periods a year. If I get a period, the PMS symptoms will go away after a day or two, but if I don't then the symptoms will linger for around a week.

I'm wondering if there's a way I can induce a period to get rid of the symptoms? It's starting to interfere with my ability to do school/work. My doctor is considering putting me on progesterone but she wants me to lose weight first (currently BMI 30) to see if we can get the periods back naturally. I've lost 14 pounds since May but am not yet at where we want me to be. I am not currently on other medications.

Thank you.