Yes, you can. A society of abundance is defined as fulfilling a man's wants. Liberal economists argue this is impossible - wants are infinite. This is a false preposition, which while useful for modeling concepts like utility or demand, does not work practically.
First, however, we must make something clear - the concept of ownership makes no sense in a Technate. Rather, consider goods to be distributed similar to a library: when you want a specific good, such as a car, you request it, have it either delivered to you or go to a distribution center where you "rent" it (at no cost), and use it until such a time that you no longer have need of it, at which point it is stored again in a distribution facility. Real world programs similar to this are
Capital Bikeshare or
ZipCar, which serve as a proof of concept.
Since one does not own, one cannot "possess" more than they are currently consuming. While desires may be unlimited, the physical capacity to consume is not. You cannot drive two cars at once. You cannot live in two houses at one time. You cannot eat more than a certain amount of steak in a single sitting. In this way, the physical ability to fulfill your desires
is limited, even if the desires themselves are unlimited. A society of abundance aims to meet your ability to consume what you want whenever you want within those limitations, not your ability to want in abstract.
So a man may say "I want to drive a Lamborghini" and, theoretically, go out and do so immediately and without limitation. Though while he sleeps, or watches a film at an entertainment center, that vehicle is stored in the distribution center again, and others may in turn use that same vehicle, as he cannot use it while he is fulfilling other desires.