What Does “Come after” Mean in the Bible?

Behind, after.

It can mean

In the Bible: John the Baptist said that one mightier than he was coming “after” him. And James and John left their father in the boat and went “after” Jesus.
Today: we say “to follow.”

Mark 1:7; Mark 1:20; Mark 2:13

Mark 1:7

And he preached, saying: There cometh after me one mightier than I, the latchet of whose shoes I am not worthy to stoop down and loose.

Mark 1:20

And forthwith he called them. And leaving their father Zebedee in the ship with his hired men, they followed him.

Mark 2:13

And he went forth again to the sea side; and all the multitude came to him, and he taught them.

Douay-Rheims Bible (Challoner revision), public domain.

Source: Douay-Rheims, Mark 1:7