Suppose a person does not receive the sacraments. Can they still be saved, yes or no?
Believe and be baptized. Those are Christs criteria for salvation. (non Catholic) and baptism though preferred and necessary if there is time, is not a game breaker either. Ultimately all those who call on the Name of the Lord will be saved.
Having said that Holy Communion is a huge blessing and should not be denied those with a repentant heart. I don’t believe in mortal sin, (there is only one, and it is sinning against the Holy Spirit per Paul) and while divorce is against Gods will (but permitted in some circumstances) it is a reality of life and can be forgiven like any other sin. There are many worse sins that God forgives freely forgives when repented of.
Annulments are capricious and granted by men, often based on how much money and influence you have. Another non biblical way for the RC to control their flock and extort money from people. Sorry for bluntness but you asked for the non RC view.