That's a big ask in 1936-38. Even in Sept 1939 no SE fighter existed anywhere that could meet those requirements.I wonder what Fairey (or any of the British firms) would have come up with before the war for a fleet fighter if specified as follows:
1) Single seat
2) Single engine
3) Monoplane
4) Retractable undercarriage
5) Fitted with 8 mg with possible upgrade to four 20mm or combo
6) 330 mph or faster with competitive rate of climb
7) 900 mile combat endurance
8) Foldable to less than 20ft wide and 12ft high
9) Wide robust undercarriage with good forward view
10) Good low speed handling
This of course assumes that the priorities of war, the need to get the Spitfire, Hurricane, etc. into immediate service can be addressed.