In the US, anyway (which the phrase out-of-state implies is the intended context):Yes it can, though that of course depends on the facts. Ordinarily, the court that effected the dissolution retains jurisdiction. A support order issued by a court with jurisdiction will ordinarily be enforced in another state, subject to some procedural niceties.If you want to know whether a *particular* order is enforceable in a *particular* jurisdiction, you need to show it to a lawyer and give him the whole story.