Yes, absolutely possible. But in my opinion having been around people like this in other auction settings, it is also likely this was done to publicly demonstrate that this has “value” and in turn it means “Melania Trump has Value”.
I’ve known people that have bid up their own items at auction JUST to make sure that there is now a “public record” of the value. Yes it cost them the auction fee but in turn their appraiser can now use it to inflate the value of all the other items that person has. People that do that usually have a collection of similar things. There are some people that have a surprising amount of influence in certain markets and bidding up the right item(s) can lift an entire market up.
Even if she bought this back herself, she can still claim that “her things, including NFTs” have “enormous value” so hopefully someone else will REALLY “buy” the next one.
I’m reading a lot into this though and it could just be simply that she needed the cash from some “other” source that was not traceable. ¯_(ツ)_/¯