“Should partial dentures hurt?”

All new appliance usually need to be adjusted at least once or twice. Call your dentist and allow them to make your appliance more comfortable.

Very often they may need to be adjusted. At times they may take a while to
get used to them

No.

Partial dentures may be uncomfortable for the first month while your gums get used to the friction from contact with the denture. Teeth may be sore due to pressure from the denture and this most commonly occurs with teeth that are anchoring your denture through a metal clasp attachment. It's best to consult your Dentist or Denturist about a regimen for gradually easing into the use of your new denture - this will maximize the adaptation of teeth and gums and minimize discomfort!