It is certainly possible. But, if you are going to handle any goods in an EU country, you will need to have at least a VAT registration. And once the tax administration discovers that you are personally working in that country, they will consider you to have a Fixed Establishment and require you to pay taxes on company income in that country. And naturally full require full accounting.
Our advise is to simply set up a company in Ireland and to be prepared to handle all compliance issues in full.
We automate EU and UK sales compliance when you need that: www.easproject.com