For a mature, non-Google open source _and_ open hardware option: https://solokeys.com/
Software: https://github.com/solokeys/solo
Hardware: https://github.com/solokeys/solo-hw
Software: https://github.com/solokeys/solo
Hardware: https://github.com/solokeys/solo-hw
Yes it does ([1]).
But honest question are there any chipsets out there which doesn't? Maybe some open source projects? The radio protocols are incredibly complex so I would be (pleasantly) surprised if there was.
[1] https://www.nordicsemi.com/Software-and-tools/Software/S140
Here's one: https://foundries.io/insights/2018/01/08/20180110-ble-dongle... and I believe there are others out there in various stages of completion.