Yes. But, only if they repent.
It is easy to say that you accept Christ as your savior.
It is another thing altogether to repent and follow Christ.
If you say you accept Him and do nothing, it counts for nothing.
As a Mormon, I believe that you must accept Him as your savior, repent of your sins, keep the commandments and live a Christ-like life.
You don't have to be perfect, but your life must be a constant effort to follow him and try to become like him.
If you accept him, you must follow him. Repent. Change. Become more like him.
He has revealed truth in modern times through a modern prophet.
A living prophet guides the Lord's Church today.
It's true. Find out for yourself at Mormon.org