I believe so. The reason is that God is not willing that any perish.Is it even Biblical to Pray for a Person’s Salvation?
2Pet 3:9 The Lord is not slack concerning his promise, as some men count slackness; but is longsuffering to us-ward, not willing that any should perish, but that all should come to repentance.
It stands to reason that it's His will that all live. Why not pray for the Salvation of another? I have many times and still do.
MB