No.
Based on my answer, it depends on which Librem laptop. Please clarify which.
If it’s the Librem 14 laptop, noone can say for sure unless it has been tested. It should work but you know how things are.
That particular DS looks a bit adventurous in that it claims to allow up to 3 external monitors.
That particular DS apparently cannot charge the laptop. Maybe that’s a requirement for you. Maybe it’s not.
@kieran: Sorry for not being precise: I have an L13 and I have ordered an L14. Since I expect to continue use of the L13 both models are highly relevant with respect to docking station. I would prefer as little cable-plumbing as possible, but I can live with power and the USB-C. I now plug in power; an USB3-switch with plugged in sound card, mouse, and wired Ethernet adapter; and monitor. I.e. I plug in three cables currently. To make any sense, a docking station must at least relieve me from two of these, which will be replaced by plugging in the docking station. But perhaps event that is not worth the troubles of getting a docking station?
I would hold off until you get the Librem 14, then get a docking station that works really well with that (should do everything: mouse, keyboard, sound, ethernet, monitor, power) - and then accept that what works with the Librem 13 works and what doesn’t work with the Librem 13 doesn’t (I would expect that mouse, keyboard, sound and ethernet will work).