No, I agree that his travel ban, if that is what you mean by "EO," is not grounds for impeachment. However, you should read up on what constitutes grounds for impeachment. Unfortunately, it's practically anything, and quite vague. That leaves open the door for political opponents to bandy about the idea of impeachment before there is arguably enough evidence to make it appropriate.
However, most of those assertions stem from serious concerns about what we've already learned. There is much reason in this case to suspect unethical and criminal misconduct here. You should read up on his known business conflicts, like his hotel renting property from the federal government, making him simultaneously landlord and tenant. Trump could divest himself, but hasn't. There are many other issues with his business interests, too numerous to catalogue them all here.
Most serious in my opinion are his tries with Russia and Putin. They are increasingly difficult to ignore with each new revelation. First we have him taking the unprecedented position of praising a hostile foreign dictator with US approval ratings of about 10%, meaning he took this position to his political disadvantage. A surprising and bizarre position for him to take which has never been adequately explained. Then we find out Russia has hacked democratic organizations and seeded fake news into US social media to help Trump win. Then we have Trump dishonestly denying that they have done this. Then we see this dossier compiled by a respected MI-6 operative which contains numerous specific allegations about Trump being blackmailed by Putin and of colluding with the Kremlin during his campaign. Then we hear Trump defending Putin in response to a softball question from a fellow conservative asking him to condemn Putin's assassination of political opponents. All he had to do was condemn these killings and it might have reassured people, but he just couldn't do it. Then we hear that at least part of the Steele dossier has been verified by the CIA through analysis of intercepted communiques. Now we discover that his National Security Adviser, before Trump took office, promised the Russian ambassador that Obama's sanctions against Russia for the hacking would be rescinded. Forget about the fact that Flynn lied about it. Why was this promise made at all?
We aren't quite there with impeachment yet, but we could be there soon. It isn't premature to start discussing it now. I don't say this lightly, and it has nothing to do with disagreeing with Trump's policies. I disagreed with nearly all of Bush's policies, and never thought for one second that impeachment was appropriate.