This is the ultimate contradiction of life. Life requires property, yet that property must be denied from other lives. Property is not originally property, and therefore it has to be acquired.
The original taking of property was theft from humans though. And if you do not recognize the rights of non-humans to resource access, then property comes before theft, and theft only comes once humans have acquired the property from non-humans.
However, nowadays it is difficult to obtain property that does not have a history of theft from humans associated with it. This is a fundamental problem. What is the proper way to deal with stolen property? What if it was stolen yesterday? What if it was stolen 100 years ago? How about 1000 years ago? How do Austrians deal with inheritance of property rights to stolen property?