to make completely full: to fill a space, flood a person with something, or bring a set time to its full measure
This verb pictures something filled right up to the brim, and the New Testament stretches that single picture across several settings. At its plainest it means loading a space or a container full: a banquet hall with guests, a sponge with sour wine, a boat with fish.
From there it moves to people. A person can be filled the way a vessel is, so taken over that what fills them now drives them. Luke uses it above all for being filled with the Holy Spirit, and just as readily for being flooded by a strong feeling, whether fear, wonder, rage, or jealousy. The image is the same in both cases: a person so full of something that it carries them along.
The last step is time itself. When the days appointed for something have run their full course, the word says they were filled up, that is, completed, and it can also say that everything written was brought to its full realization. Nearly every occurrence sits in Luke and Acts, where this filling language quietly ties together the coming of the Spirit, the reactions of the crowds, and the sense that God's appointed times are reaching completion.