Can this be done? Yes. Is it fairly aggressive? Also yes.
I assume your itinerary is actually # of nights in each city, not days, and that you are basically asking about the order of your stays. In each place that you have 2 nights, you will arrive late in the day and have one evening and one full day. I am sure you will plan to use the full day of driving between places to make stops along the way and have mapped that out.
If it were me, I would cut the night in Limerick and add it elsewhere. Perhaps Donegal, where I have not been - but it is a lengthy driving commitment to only have the equivalent of one night there. After going that far, I would want 2 nights.
On Day 9, I assume you have a night back in Dublin before you fly out on Day 10. If not, I would want to adjust for that.