Pre 1900: Virtually impossible, America will fight a land war vs Canada (which they will very likely win) but it will end up under a blockade until it comes to terms with Great Britain. In the 1800s the US doesn't even have the naval force to stop a British blockade of the Atlantic, let alone muster an invasion of the UK. Now America could theoretically win a war with the UK via some sort of negotiated peace allowing them to claim territory in Canada (how the US would force the UK concede this is another story) but they dont have anywhere near the naval to go on the offensive at sea.
To conquer Great Britain you first have to defeat the Royal Navy. America simply doesn't have the the Navy to defeat the RN prior to the period between world war 1 and world war 2. Furthermore, Great Britain maintains the world's largest ship building capacity up until world war 1 so there is simply no way that the Americans can catch up to the UK if it is an all or nothing Naval race prior to world war 1 (when the UK went from having by far the most foreign assets of any country on earth at the start, to being heavily indebted to the US at the end). Furthermore prior to 1923, Great Britain is allied to Japan which is a powerful naval force in its own right, and declaring war on the UK would mean having to fight the Japanese in the Pacific as well. Furthermore, the UK only refused to renew the Anglo-Japanese alliance to avoid getting entangled in a future US-Japan war, if they are facing a hostile America, it is doubtful they would give up this alliance. The question then becomes when can the US defeat the combined navies of Japan and the UK? In any case having the US and UK make war in the 1930s and beyond and you likely have the US grinding down the Royal Navy to the point where Great Britain can be blockaded and starved until it surrenders.
PS: Of note the US never actually considered a war plan that envisioned conquering the UK. Even the objectives of War Plan Red in 1930 were limited to conquering Canada and British colonies in the Caribbean, then adopting a defensive stance and preventing RN interference.
PPS: Having either Great Britain or America on the side of the Nazi's makes for an interesting scenario.