Game doesn't work like that apparently unless you use Mods, but yeah, something like that.
There is an Impound in Los Santos, San Fierro, and Las Venturas. All 3 of them can store 3 extra Vehicles. But they are not easy like the 17 Garages you have in the game that you can buy with the Properties. Those Garages are simple and can store 4 Vehicles each. Impounds require a lot more maintenance and Vehicles can easily get overwritten inside the Impounds that you stored if you are not careful and know what you're doing. You can manually impound Vehicles, but there is also ways of impounding them via Side Missions and such. Like, any Vehicle you drive to Trucking with will disappear after starting Trucking and go to the Los Santos Impound. Quarry works the same way, only here it will impound Vehicles to Las Venturas. You can even park a Vehicle inside the Emerald Isle Car Park in Las Venturas and when you drive away and come back, your Vehicle will be gone and put into the Las Venturas Impound.
But I think I will stop here. OrionSR already has an Impound Topic on the Forum for the last 5+ years and there is Videos on Youtube showing how to use them and such. Impounds are usually only for Advanced Players who really know what they are doing, know how they work, and how to use them. More importantly, if they are Special Vehicle Collectors. Why? Cuz the more storage space for a Collector, the better. Without Impounds SA can store 68 total Vehicles in the 17 Garages, but with those 3 Impounds, you potentially can store an extra 9 Vehicles, thus now you can store 77.
But yeah, Impound Topics, Youtube Videos, and a Special Vehicle Guide for SA is here to help. This Topic isn't the one...