I don't think your period itself can have any major effects. Hormonal imbalances can, definitely. And as mentioned above, things like menopause, pregnancy, birth control pills, etc can cause changes.
You period itself can effect your skin and scalp, though, so a change in oiliness can cause it to be limper or flatter, or the opposite.
But as far as the hair itself, I think the hormones have to be present for long enough to effect your hair as it grows.
2c/3a/3b, Fine/med, Dense, high porous, & normal elas.
Lo-poo - Renpure Keratin, SMR, Giovanni SaS
clarifying - mix Johnson's H2T with low poo
Co-wash - Suave Nats. clar. or coco.
RO - GVPCB, Ion Eff. Care, TN.
LI - SMR, Cure Care, or RO
Seal - MO or Jojoba
DT - + honey, ACV, & EVOO to SM masque & GVPCB
PT - Gelatin!, CNPF
Styling - FSG, AIF, BRHG, LALS/PS, GF curl spray gel, SM Souffle/Smoothie, LOOB
Oils - MO!, EVOO, jojoba, GSO, SM Elixer, EVCO, VO5 Hairdressing