For socket 1151 is very hard to buy cheap CPUs now
Yeah the answer is no.
But have you tried used cpus on ebay?
https://www.ebay.com/itm/124605346995?hash=item1d030eb4b3:g:0jQAAOSwMtpgI0i3
g4900t above
g4560t below
https://www.ebay.com/itm/194047825077?epid=13029971724&hash=item2d2e26d4b5:g:wlEAAOSwwGBgfNPz
better yet. i3 8100t's
https://www.ebay.com/itm/393220812571?epid=16032343435&hash=item5b8dc96f1b:g:nmQAAOSwFwlgXLPD
https://www.ebay.com/itm/124422585869?epid=16032343435&hash=item1cf829fe0d:g:Ti4AAOSwdohfoa4P
i3 6100t
https://www.ebay.com/itm/123685151567?
the t versions save power.
But this ebay CPUs are really not cheap. Actually I need at least 100 PCS Celeron G4930 for Biostar TB360-BTC PRO (it support only 8 and 9th gen.)
Several weeks ago my buying price was around 31 USD (BOX, new, 3 year warranty). But now no stock, and all Intel distributors tell me, that Intel is not able to deliver them...
This means that in 5 days of mining, you recoup the costs.
I think it is worth buying more expensive processors in order not to lose profit.