No. You cannot get a UK driving licence with only a UK ETA.
A UK ETA is an electronic travel authorisation for short visits to the United Kingdom.
It is used for purposes such as tourism, visiting family, short business trips, or transit. It is not permission to live in the UK or stay long term.
To apply for a UK driving licence, you must meet the UK residence and driving licence application requirements.
Therefore, a UK ETA for a short visit cannot be used to apply for a UK driving licence.
If you need a UK driving licence, you should first check whether your immigration status meets the driving licence application requirements.