No.
To prove this, you can actually construct the plane.
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Is false
It's not possible to draw two points that aren't on the same straight line.
Coplanar means "on the same plane", so we can imagine that non coplanar means "not on the same plane".For example, if you draw a square and point on a piece of paper, the two objects are coplanar. However, if we were to add depth and the objects were a distance apart, they are said to be non coplanar.
draw two angles in three common points
It is impossible to have a triangle with 3 right angles. It is possible to draw a triangle with three right angles on the surface of a sphere: www.metacafe.com/watch/769025/270_degree_triangle_yes_3_right_angles