No, a triangle cannot have two right angles. By definition, a triangle has three angles, and the sum of the angles in any triangle is always 180 degrees.
If a triangle were to have two right angles, that would mean two angles each measuring 90 degrees. The sum of those two angles alone would be 180 degrees, leaving no degree measure for the third angle. Since a triangle must have a third angle, it is impossible for a triangle to exist with two right angles.
Therefore, a triangle can have at most one right angle.