Quote: "Are there desktop machines with this chip?"
Short answer 'no'.
Assuming you're talking about the mobile 6000 series Zen 3+ based mobile chips, then no, those are not, as far as I know, coming to desktop. (A Zen 3+ refresh was rumoured quite some time ago, but from what I understand AMD scrapped the refresh in favour of Zen 4, but again this is just a rumour).
The current (as in been around a while now) desktop 5000 range is Zen 3 (the mobile 5000s are a mix of Zen 2 or 3 depending on model), and other than one enhancement to Zen 3 coming [*] the next desktop parts will be Zen 4 based, and use a new AM5 socket.
So if you are after a new desktop AMD, then it's either current (i.e. now slightly older) Zen 3 with the 5000s, or wait for the new Zen 4 based 7000 models, due some time later in the year, likely summer or later.
Worth noting, Zen 3 desktop parts use the AM4 socket and DDR4, whereas Zen 4 will use the new AM5 socket and DDR5, so there is no direct upgrade path from AM4 Zen 3, without getting a new motherboard and RAM (in addition to the CPU).
* The enhancement, is a new version of the existing Zen 3 based 5800X, called the 5800X3D (due this Spring), this is basically the same part as the 5800X (Zen 3 8 core AM4 7nm DDR4), but with a 64MB cache added. This is aimed at gamers, although I'd assume any tasks that are cache heavy would likely benefit.
AMD are touting the 5800X3D as the "Worlds fasting gaming processor", but take that with a pinch of salt till some independent and reputable benchmarking has been done with real silicon.