Can hormonal changes lead to swollen gums? i brush and floss daily, but a week before my period,my gums are swollen and sore (no bleeding). their pockets are 2-3?

Hormonal changes during the menstrual cycle do lead to increased blood flow to the gums. Try rinsing your mouth with a mouthwash twice a day to reduce soreness until gum engorgement resolves.

Yes, hormonal changes can influence periodontal health, especially if there is underlying infection. It would be prudent to report your symptoms to your Dentist. Review by a Periodontist, a gum/bone specialist, may be in order.