No. Quickened Spell changes the casting time, not the actions required to use the spell once it's been cast. Quickened fly doesn't let you teleport, and quickened witch bolt doesn't let you zap for a bonus action.
The "casting time" of a spell is the time required to cast it (PH pg. 202, "Casting Time"). The rules don't define what they mean by "casting" a spell, so the English definition rules: "to put forth" (M-W, cast (vt.), 1c1).