It’s unlikely that Andrew will ever face charges in a criminal court.
For a case to proceed in the UK it would have to be something that happened in the UK that could be proved to a strong enough level to bring to a court of law. Verifiable evidence and strong witnesses.
For a case to proceed in the US it would have to focus on many more people than Andrew - that comes with the same issues as the UK case - you can start with what’s in the Epstein files but without verifiable back up evidence and strong witnesses it will never make it to a courtroom.
Consider the wealth and power of the Americans who are implicated - their lawyers combined could keep any prosecution tied up and delayed for years, possibly decades.
I’m also not sure there’s going to be a viable legal process at all in the US for a long time after Trump gets done. It’s a very dark time.