D&D 5E - Agility-based katana wielder: is it possible?

In terms of making a character within the rules that fits that vision, one possibility is

Character class: Monk
Chosen weapon: Quarterstaff (1d6, 1d8 with 2H) reflavoured as a katana doing slashing instead of bludgeoning damage

Then he can have fun being all light armoured and wise, quick and athletic and do his versatile 'quarterstaff' fighting with two hands, getting his bonus unarmed attacks and other stuff. Uses Dex instead of Str for attack and damage.

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