No. If you are disqualified from driving in UK, you cannot drive in Ireland. Similarly, a ban imposed in Ireland applies in the UK.

The Mutual Recognition of Driving Disqualification 2015 is an agreement between the United Kingdom and Ireland that facilitates the mutual recognition and enforcement of driving disqualifications between the two countries. Under this agreement, if you are disqualified from driving in one country, the disqualification will be recognized and enforced in the other country as well.