No.
First, the refugees have already graduated from “fleeing bloody war” to “fleeing bad conditions in huge, crowded refugee camps in the middle east for the hope of starting a better life in a country of their choice”. Or, in some cases, “fleeing from a prospect of starting over as an asylum seeker in an economically weak southeastern European country that they don’t know much about, to a rich northern or western European country where they already have friends and relatives”. Still legitimate reasons, but not nearly as black and white as you make it out to be.
Second, I don’t see how “the governments of Europe” are acting criminally.
Hungary comes closest, with its radical border closure. They are acting about like the US has been acting on the Mexican border for decades. Thus, the Serbia->Hungary->Austria->Germany route got blocked in favor of the Serbia->Croatia->Slovenia->Austria->Germany route.
None of the countries along that route have done anything criminal. Except, technically, breaking the Dubllin regulation, but that doesn’t matter as that was a load of crap to begin with, and the governments involved are coordinating their actions (a bit).
So now we get a few thousand people crossing our southern border from Slovenia every day. Most of them continue on to Germany, only a few apply for asylum in Austria.
So, Austria has only had about 9000 asylum applications in September. That is, applications by people who have already entered the country and are being taken care of, both using our tax money and by record amounts of donations and volunteer time.
Meanwhile, the US agreed to take 1500 Syrian refugees in 2015 and to increase that number to 10000 in 2016. Note that the US has 38 times the population of Austria. Of course, Syria’s neighbors are doing the real work.
What do you do with thousands of potentially traumatized people who have seen enough war that they won’t take “no” for an answer any more? People who will just march past policemen who order them to stop, but who are unwilling to shoot them? People who will just (in a groop of about a thousand) walk out of a camp at Austria’s southern border because they somehow got the impression that a group with small children could walk to Germany within a day rather than waiting for the special trains that are being organized for them?
Sure, if Austrian police was better organized, had more Arab translators on call, or was more flexible about quickly recruiting some translators, many of those problems could be avoided.
So, what crime is being committed by “European governments” again?