New x64 systems? Probably not. But since it still supports x86 and a whole slew of other architectures[1] still that don't always, it probably wouldn't make sense to stop.
Other commenter is correct, there are some late 486 boards with PCI support that would allow USB 1.0 or even 2.0 cards to be installed and used. Probably slow, but should work.
On the topic of modernizing a 486-class machine, there also exist a few with native PS/2 mouse support, and certain Matrox PCI cards have digital out, so it'd be possible to build a 486-class machine with USB 1.1, DVI/HDMI, and PS/2.
Since some Logitech wireless mice support PS/2, one could connect a 486 rig to a crisp digital LCD, use a wireless mouse, and plug in USB flash drives, sound, 10/100 network, NT 4.0, etc. -- all supported. Can make a fairly "modern" machine out of a pre-Pentium chip.
https://gitlab.com/hakfoo1/ch37x-bios is the actual code.
Post 394 shows a picture of the card I used, which at the time was sold in like 500 AliExpress storefronts for about USD25. The magic word is "CH375" or "CH376" (two chips, overlapping functionality, different enough to be annoying to support in software)
As mentioned in the thread, it tends to fit a weird niche.
For 8086/8088 machines, the other main option is XT-IDE cards, which are like $40+ and they're sort of finicky with some drives.
For a 286+, usually installing a standard IDE drive (or a more modern CF->IDE or SD->IDE adapter) is the easy mode with wide software support.