Not really - the government have stated that he's in the US. It's the first sentence of the indictment. [1]

> On or about January 24, 2025, in the Northern District of Georgia...

[1]: https://storage.courtlistener.com/recap/gov.uscourts.gand.35...

But in general, the thing to note here is that the 4th amendment is always applicable and in force. It's how it's interpreted that changes depending on the circumstance.