
Yep as long as the pup fits into a carrier that is the carry on luggage size and less than 10 pounds. It is up to the Airline if they allow it.
A pup I bred in 2005 went this way on an 8 hour flight, yet we don't seem to have any UK domestic routes that allwo thsi where th journey is much shorter and arguably havign the pup in cabin is likely to imoinge on a fellow traveller much less.
Personally I think the pup is better off in the hold as checked baggage (often only about $150), where the temperature will be more comfortabel for a dog, it will be dark,a dn teh pup will ahve mre room 9in a rigid airline crate.