Question about Woocommerce integration

Is it only possible to add to the woocommerce cart from the Product page?

I was hoping I’d be able to add to the woocommerce cart from the Calendar page itself (i.e. the page where the calendar I have created is embedded using the booking plugin short code).

i.e. I can create a booking and add to the woocommerce cart here:
https://gcda.coop/product/kitchen-booking/

But I want to be able to do so here (i.e. the page where the calendar I have created is embedded using the booking plugin short code):
https://gcda.coop/greenwich-kitchen/kitchen-booking/

Is that possible?

https://ww.wp.xz.cn/plugins/booking-system/