Who are you kidding?
> (with some care)
No. Even if you were to give it more care than required to rewrite the GUI natively in each major platform, you still wouldn't be close.
Look, I get it, there are plenty of applications where a bit of clunk in the GUI is beneath other things on the priority list. That's fine. But the number of java devs who think clobbering together a few native widgets means they have constructed a native experience is... disconcertingly high. There's a whole GUI world out there beyond the lowest-common-denominator, and Swing isn't even the best at that.
Your priorities might still be perfectly rational. I might even make the same decisions under the same constraints. Just... be aware of what you're trading away