According to the guidelines for the "Settled and pre-settled status for EU citizens" scheme
https://www.gov.uk/settled-status-eu-citizens-families/applying-for-settled-status
If you have criminal convictions
If you’re 18 or over, the Home Office will check you have not committed serious or repeated crimes, and that you don’t pose a security threat.
You’ll be asked about your criminal history in the UK and overseas. You’ll also be checked against the UK’s crime databases.
If you’ve only been convicted of a minor crime, for example you’ve had a speeding fine, you’ll still be eligible for settled or pre-settled status.
You may still get settled or pre-settled status even if you have other convictions. This will be judged on a case-by-case basis.
As I explained in one of my earlier threads, I'm not 100% sure what my criminal record is.
Will the Home Office use the PNC or other records? What should I declare as my criminal record?
Thanks.