It is clear to me why a Calvinist would phrase a question in those terms. But most Christians who believe in free will don't think in terms of election because it seems to them that the word has taken on a specialized meaning defined only by Calvinism.
So I think the question for us would be, is it possible for someone to have communion with God? The answer is yes, and involves entering into a relationship with the Holy Trinity characterized by Love. It is a journey, but I don't have a precise road map to offer.
That's sad. I do.
If ye had known me, ye should have known my Father also: and from henceforth ye know him, and have seen him. Philip saith unto him, Lord, shew us the Father, and it sufficeth us. Jesus saith unto him, Have I been so long time with you, and yet hast thou not known me, Philip? he that hath seen me hath seen the Father; and how sayest thou then, Shew us the Father? Believest thou not that I am in the Father, and the Father in me? the words that I speak unto you I speak not of myself: but the Father that dwelleth in me, he doeth the works. Believe me that I am in the Father, and the Father in me: or else believe me for the very works' sake. Verily, verily, I say unto you, He that believeth on me, the works that I do shall he do also; and greater works than these shall he do; because I go unto my Father. And whatsoever ye shall ask in my name, that will I do, that the Father may be glorified in the Son. If ye shall ask any thing in my name, I will do it. If ye love me, keep my commandments. And I will pray the Father, and he shall give you another Comforter, that he may abide with you for ever; Even the Spirit of truth; whom the world cannot receive, because it seeth him not, neither knoweth him: but ye know him; for he dwelleth with you, and shall be in you. I will not leave you comfortless: I will come to you." -- John 14:6-18"Jesus saith unto him, I am the way, the truth, and the life: no man cometh unto the Father, but by me.
No doubt. Too bad.
I would suggest you return to Scripture and find the comfort and assurance God has given His sheep.
My sheep hear my voice, and I know them, and they follow me: And I give unto them eternal life; and they shall never perish, neither shall any man pluck them out of my hand. " -- John 10:26-28"But ye believe not, because ye are not of my sheep, as I said unto you.
"These things I have spoken unto you, that in me ye might have peace. In the world ye shall have tribulation: but be of good cheer; I have overcome the world." -- John 16:33