Would it have been possible to stretch the Me 109 design like the Fw 190? Lengthening the fuselage to carry more armament and fuel, enlarging the wings to carry the weight. Obviously the undercarriage would have to change to a broad one, too. They would have had to strenghten the structure considerably as the 109 was not nearly as rugged as the 190.
The Me-209 looks the part, with it's enlarged (but still not too big) wing and a much better undercarriage.
Why did they not develop the A6M Zero further to be competitive?
Probably a combination of shortsightedness, overload of Mitsubishi's design department, and Japanese aero industry lagging back vs. West (USA, UK, Ge). Japan was not as rich & developed as the 3 leading Western countries, meaning that best engines went into 2-engined bombers 1st, instead of Anglo-American practice of making 4-engined bombers powered by widely-available engines.