There are machines designed for compaction that use tires.
A home owner can do a decent job with the front tires of a tractor if they build up the soil in small lifts, and work it over and over again, if the moisture in the soil is correct.
Ideally, you need a machine that vibrates, has a lot of weight with a small footprint, the proper moisture content for the soil, and lifts based on the size of the machine doing the compaction.
Nobody can get compaction with a machine with tracks. They can make it look pretty, and it's gonna be compacted enough to walk on it, but if you drive anything over that soil, it's obvious that it's not compacted.