I see what you're saying... instead of going through bag check and security at the airport, you go through bag check and security at an off-site facility, like the consolidated rental car facilities that many airports have been construction in recent years.
But it wouldn't solve the lines, not even a little bit, because the same number of people go through the lines, whether they do it on-site or off-site. You're just moving the security checkpoint and bag check farther away from the actual planes and adding a tremendously complex layer of transportation - of both people and baggage - to the process.
Unless you constructed at least two such facilities for an airport, which would then split the lines between them, the lines wouldn't get shorter.
Now, you might say, construct two and you've cut the lines in half! But no, not necessarily. The percentage of people who go to each of the facilities would depend on a huge number of factors, such as where they're built, how big they are, and how evenly distributed the airport's customer base is.
You might construct two equal facilities at equal distance from the airport, only to find that 80% of pax use one and not the other, because the airport draws 80% from the east side of town and only 20% from city center and the west side.
Or, you might construct one large facility in the heart of the area where the airport draws the most people, and a smaller in on in a small draw area, only to find that nobody wants to use the big facility because it's in a bad neighborhood, or it's got lousy parking, or the bus ride to the terminal is an hour, and they drive out of the way to swamp the smaller facility and overwhelm its facilities.
Consolidation is key. It's best to keep all air travel related functions in and around the airport itself for efficiency.
The best way to cut down TSA lines is to speed up screening, and the best way to speed up screening is to use faster, more efficient, more effective methodologies.