Yes, it is possible to create a quadrilateral with 0 right angles and 0 pairs of opposite sides that are parallel. An example would be a kite-shaped quadrilateral where the sides are of different lengths and no angles are 90 degrees. Such a shape would not have any parallel sides, as all sides can be arranged to meet the criteria.
a square
A square or maybe a rectangle as well would fit the given description
square
a rhombus, a quadrilateral without right angle, a quadrilateral with equal opposite parallel sides but no right angles
a square
I am a rectangle.
It is a quadrilateral whose opposite sides are parallel and has no right angles
the answer is a rhombus the answer is a rhombus
A parallelogram is a quadrilateral whose opposite sides are parallel and has no right angles
a square
A square or maybe a rectangle as well would fit the given description
square
a rhombus, a quadrilateral without right angle, a quadrilateral with equal opposite parallel sides but no right angles
a square
rectangle
A rectangle
rhombus