No. A square is a plane figure and conventionally for plane figures symmetry is considered in terms of rotation about a point or an axis (in the plane of the figure) but not a plane outside the plane of the square.
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Rotational symmetry refers to symmetry of the figure when it is rotated about a single point in the same plane. Lines of symmetry apply to reflections. You do not have lines of rotational symmetry.
A square has 90° rotational symmetry.
A square has four lines of symmetry
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A square by definition has lines of symmetry. Therefore a square cannot be drawn without any lines of symmetry.