You can, in theory, but maybe not the best choice.
The week before your period is when your body most wants calories and carbs so it can up the progesterone hormone. That’s why the week before/during, most women are super hungry.
There’s a potential that fasting during that time may impact your regularity, as your body will perceive its under stress and maybe in danger.
Typically the two weeks after your period are the best time to do extended fasts.