Yes, you can.  Legislation changed on 16th June 23 and becomes law on the 7th July 23 to state that any Ukrainian in the UK under the Ukraine scheme can use their original driving lecense.

Citation, commencement and extent

1.—(1) These Regulations may be cited as the Motor Vehicles (Driving Licences) (Amendment) Regulations 2023.

(2) These Regulations come into force on 7th July 2023.

(3) These Regulations extend to England and Wales and Scotland.

Amendment to the Motor Vehicles (Driving Licences) Regulations 1999

2.  The Motor Vehicles (Driving Licences) Regulations 1999(2) are amended as follows.

3.  After regulation 80 (persons who become resident in Great Britain), insert—

“Modification of regulation 80: Appendix Ukraine Scheme

80A.—(1) This regulation applies in respect of a person who—

(a)has entry clearance or permission to stay under the Appendix Ukraine Scheme to the Immigration Rules(3), and

(b)is the holder of a relevant permit within the meaning given by regulation 80(6) which was issued under the law of Ukraine.

(2) Where this regulation applies, regulation 80(1) has effect as if the reference to the period of one year after a person becomes resident in Great Britain were to the period of three years after that person becomes resident.”.

https://www.legislation.gov.uk/uksi/2023/666/made?view=plain&fbclid=IwAR2Qmytq1D7g_Eqjrg5RM5uOn6LTTte4LckgroCgbO1Q4hp52sYAzO-Ml_