No it cannot. A polygon is a plane space enclosed by straight lines. An ellipse consists of a curved line, not straight lines.
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No it is not. An "Ellispe" is not even a recognised word!. In any case, a polygon is a plane space enclosed by straight lines. An ellipse consists of a curved line, not straight lines.
Triangle, quadrilateral, pentagon, hexagon, (or polygon, in general), circle, ellipse, are some names.
A circle, an ellipse, a triange, any regular polygon with an odd number of sides, a general (ie not a special case) quadrilateral, are some examples
A circle, an ellipse, any polygon whose vertices are rounded (like some coins 50p in UK, 10 paisa in India, for example).
If the area is that of a circle or a regular polygon (triangle, square, reg pentagon etc) there are formulae that will enable you to do so. If it is any other shape - ellipse, irregular polygon, or worse still a random shape - then the area cannot be found.