in pakistan no, but abroad fully synthethic 20W-50 oils are easily found, Valvoline has one, AMSOIL has one, Red line has one and its API SN 20W-50 fully syneththic, mobil 1 also has one but thats for motorcycles.
5W mineral oils are a but harder to find but not un heard off, mobil super 5W-20 is a conventional mineral oil and still API SN, pennzoil 5W-30 and mobil super 5W-30 are also complete mineral oils, they only meet old ford and GM specification and are deigned for those, since we dont have these cars here such oils are next to non existent in paksitan, and we dont really need them any way neither is the general public aware of them so no shopkeeper or oil company will ever sell these here. we are still stuck in the world of mota tail, forget synthetics or low visocity mineral oil even because the ustaad jee has been using the oil in cars since 1960s.