Although generally not feasible in most situations, you can reroute a wash within your property provided that historic drainage patterns are maintained and the plan is engineered. That is to say that the wash must enter and exit the property in the same location and in the same manner such that there would be no negative effects to drainage on adjacent properties.
Rerouting a wash properly is a difficult endeavor that requires the services of a Registered Professional Engineer and permitting through the Pinal County Flood Control District. If not done properly, a rerouted wash could create a hazard and liability for you and your neighbors. In addition to this, you could be found in violation of several local, state, and federal laws and potentially face significant fines. Having an engineer analyze the wash protects you from liability and ensures that the proposed re-route will have no adverse impacts to adjacent property owners.