No!
Beers are rarely completely finished in only four days. Most fermentation may be complete, but the yeast are still active. They are cleaning up your beer and disposing of fermentation byproducts that will make your beer taste bad.
The earliest you should bottle is after two hydrometer readings on successive days yields the same specific gravity. There are many good reasons for waiting considerably longer than that.
Your beer will be full of suspended protein and yeast and trub particles that will not have fallen out yet. If you bottle at four days, you'll end up with 1/8th to a 1/4 inch of crap at the bottom of your bottles, and you'll have a cloudy beer. If fermentation isn't really complete, which you can only ascertain from hydrometer readings, then you'll end up with bottle bombs. That's right, nasty exploding beer grenades.
Letting your beer age for two weeks minimum after fermentation is complete (as verified by hydro readings) before bottling will do wonders for the clarity and flavor of your beer.
Have patience.
This is what I recommend.
1) Primary fermentation for seven to ten days, regardless of a drop in airlock activity.
2) Rack from primary to secondary to get beer off the trub when fermentation is complete (as verified by hydrometer readings).
3) Bulk age no less than two weeks in secondary, and preferably 4 to 6 weeks.
4) Prime and bottle.
5) Drink a bottle at two weeks, three, four, five, and six weeks. Take notes and compare. You'll be amazed how much your beer will improve over that time.
6) Start drinking the beer after six weeks of bottle conditioning.
Some people consider step 2 to be optional. They just let their beers sit on the trub in primary for the equivalent full amount of time. Different strokes. I always rack to secondary as it has always worked well for me.
Whatever you do, do NOT bottle your beer after four days of primary fermentation. You'll come to regret it for one reason or another.