Yes, it is possible.
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Yes, it is possible.
"Trisecting" is cutting into three equal parts, not four. Trisecting is impossible. Cutting into four equal parts is possible though, and trivial once you know how to bisect an angle.
The classical problem of angle trisection cannot be solved. If it were possible, it would provide the solution to a cubic equation. (-but it isn't and it won't!)
Doubling a cube Trisecting any angle
Doubling a cube and trisecting any angle