with cats, that means licking (yes, around the butt hole) because that's what cats do. See instructions below.
Is there only one vet in your area ? I understand $$$ is always a factor, but you might have to find a vet who is willing to let you in on an emergency basis. If there is a cat-only vet in your area, try that.
If desperate, go to your local pet store and ask who there knows the most about kitten care. They may even have an in-store vet (again, I know $$ are a factor) who is willing to give you a 'tip' without billing.
When to Worry About Constipation
Its important to know that kittens vary greatly in how often they go to the bathroom. While a kitten should pee every few hours, they may pass stool anywhere from 1 to 6 times a day, depending on the kittens age, care, and GI health.
Sometimes, a kitten may even go 24 hours without pooping. If this happens, dont panicbut do keep an eye on them and focus on trying to help them go potty. If they havent pooped in
more than 48 hours, thats when youll definitely want to head to a veterinarian for further assistance. If the kitten has any signs of discomfort such as straining, bloating, crying in the litter box, lethargy, or distension, veterinary care should be sought.
Baby Kittens Cant Poop on Their Own
Its also important to understand that
neonatal kittensthose under a month of agemay not be physically able to poop without assistance. Young kittens require stimulation from their mothers tongue in order to defecate. If orphaned, they need to be gently stimulated by a caregiver before every meal. Use a soft tissue or a baby wipe to stimulate the kittens anus in a circular motion, continuing movement until and while the kitten is pooping. This will signal to the kittens body to push, and will encourage them to have a bowel movement.
https://www.kittenlady.org/constipation
ETA: If Mom hasn't been nursing him, he could be really dehydrated. If he won't drink water on his own, try getting a bottle with a nipple feeder, and maybe some cat milk substitute (pet store or Tractor Supply).