At that point the Jailer IS going forward UNLESS he resists. "No man who puts his hand to the plow...."
But some men have "always resisted the Holy Ghost."
Whether he resists or not, he has not "ears to hear" unless his Dead Spirit is first Quickened unto Spiritual Life.
The Rich Young Ruler went forward at the "Altar Call", just like the Philippian Jailer. But he was not given a Heart of True Repentance, by God; the Philippian Jailer was.
In other words, Man's Repentance is totally God's Decision.