As long as you meet the lending criteria and you are permanently employed - i.e. have completed any probationary period - there should be no reason why not.
I don't know if all the lenders would be 'up for it' but I would definitely think its possible, you could probably rule out 100% though. Are you in a permanent position in your job?
Unlike the UK you do not have to have a credit rating in Ireland to qualify for a mortgage. You need to be able to show you have permanent income and the ability to repay within the lender's specific criteria plus the usual Money Laundering Act proof of ID and address.
well 3 months is not the criteria , your income capacity is what the lenders are interested in. If you are in high income group and your company can back you up with documents to prove the same you should get 100% without any issues.