The US didn't exceed the UK in manufactoring output until the 1890's, when ironclads where being replaced by battleships and crusiers.
So the quick answer would be no, however the US does have the greater potential so it would depend on how seriously the war was being prosectuted by each of the countries.
If UK was agressor then they would start with the advantage, and I presume try to wipe out the naval dockyards on the Adlantic, forcing all new ships to be built in the Pacific and then sailed round to Adlantic, this would slow things up for the US.
If US was the agressor they would need to do a "pearl harbour" attack on the British Fleets, with much the same effect, it would delay the final outcome of the naval war, but the Brits would bring ships from other fleets and in a straight fight would wipe the US navy out (remember UK had a fleet the size of any TWO other powers).