This straight from BOEING FORUM:
757 PERFORMS IN CHALLENGING ENVIRONMENTS
....."Although it is the largest Boeing single aisle model, it can operate on the shortest of runways. Currently it serves the Yichang, China, airport with its 5,250 foot (1,600 mtr) runway and the 5,577 foot (1,698 mtr) runway at Funchal on the Atlantic island of Madeira."
If it were operating into anything shorter I'm sure they would have it in black and white.
I think the guys have answered the "can" but I don't think it ever would.
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So that you may not be the martyred slaves of Time,
get drunk, get drunk,
and never pause for rest!
With wine, poetry, or virtue,
as you choose!"