No. The IRA did not have the resources for anything that big. They had run a bombing campaign in England in 1939 before the war but were in pretty bad shape afterwards. Both Éire and Northern Ireland used emergency laws to suppress them and Nazi Germany never provided the help the IRA wanted.
There was a campaign in 1942 targeting the RUC but it was not much of a success. Richard English has characterised the IRA's activities during the war as 'low level brutality and largely directionless violence'
Sources
Richard English, Armed Struggle : the history of the IRA
Tim Pat Coogan, The IRA