No, you cannot use a Biometric Residence Permit to digitally prove your Right to Work. Both Biometric Residence Permits and Biometric Residence Cards have been removed from the list of eligible documents approved by the Government to confirm a Right to Work.
Candidates not in possession of UK or Irish passports can still prove their Right to Work by means of an e-Visa. To check an e-Visa, the candidate applies for s share code on the Government website. This generates a share code for the employer or us to independently receive a report confirming Right to Work status.