Can someone lose their pre or settled status by, for example, breaking the law?

Settled and pre-settled status can be revoked in limited circumstances such as when it has been obtained by deception or the individual is convicted of a serious criminal offence. For more information refer to https://assets.publishing.service.gov.uk/government/uploads/system/uploads/attachment_data/file/948009/euss-suitability-v4.0ext.pdf