Airconditioning issue

[GSPVX]

Hi All,
Hope you might be able to advise on my A/C issue.
I went to get my A/C re-gassed at a local independent mechanic.
Apparently it holds a vacuum and the compressor clicks on and off, but there is no cold air at all.
His scanner has shown the following code: B102E09, which leads to a faulty air quality sensor.

But we don't think this is the issue and that it might be the Variable displacement valve in A/C compressor from searching online.
Would his scanner (Not VIDA) throw a code for that? Would a VIDA?

Thanks