What do you mean randoms without regard to skills or means?
You need either a family based justification (spouse or parent, mainly) or labor certification to apply for a green card. It's not a government defined point system, but an employer has to deem you worth the trouble to sponsor. Indirectly, at least, that measures the need for the applicants skills.
Means are also examined. E.g. to get a student visa you have to prove you can pay for tuition and living expenses without relying on working in the US.