No not possible...
cause outer measure of any polygon is always 360 degree

Introduction:
A regular polygon is a polygon that has all sides of equal length and all angles of equal measure. In order to determine if it is possible to have a regular polygon with each exterior angle measuring 22 degrees, we need to consider the properties of regular polygons and the relationship between exterior and interior angles.

Properties of Regular Polygons:
1. All sides of a regular polygon are equal in length.
2. All angles of a regular polygon are equal in measure.
3. The sum of the interior angles of a regular polygon can be calculated using the formula (n-2) * 180 degrees, where n is the number of sides.

Relationship between Exterior and Interior Angles:
The exterior angle of a polygon is the angle formed between one side and the extension of the adjacent side. The exterior angle and the interior angle adjacent to it form a linear pair, which means they add up to 180 degrees. Therefore, the measure of each exterior angle of a polygon is equal to the measure of its corresponding interior angle plus 180 degrees.

Analysis:
Let's assume that there is a regular polygon with each exterior angle measuring 22 degrees. We can determine the measure of the corresponding interior angle using the relationship mentioned above.

Exterior angle + Interior angle = 180 degrees
22 degrees + Interior angle = 180 degrees
Interior angle = 180 degrees - 22 degrees
Interior angle = 158 degrees

Now, we know that the measure of each interior angle of a regular polygon is equal to (n-2) * 180 degrees divided by the number of sides. Let's substitute the value of the interior angle into this formula and solve for the number of sides.

158 degrees = (n-2) * 180 degrees / n
158n = 180n - 360
22n = 360
n = 360 / 22
n ≈ 16.36

Conclusion:
Based on the calculations, we find that the number of sides of the regular polygon is approximately 16.36. However, a polygon cannot have a fractional number of sides. Therefore, it is not possible to have a regular polygon with each exterior angle measuring 22 degrees.