No they are not because adjacent angles are on the same side while vertical angles are on the opposite therefore vertical angles are non adjacent.
They are referred to "adjacent angles"
adjacent angles
Adjacent angles are angles that have the same vertex (corner) and share a common side.
A polygon that all sides and angles are the same measurement is a regular polygon.
That means they have the same measurement. Any two angles that have the same measurement (for example, in degrees) are said to be congruent.
Adjacent angles.
Two angles are adjacent if they have the same vertex, share a side and do not overlap. It is, therefore, perfectly possible for two obtuse angles to be adjacent. In fact, every pair of adjacent angles in a hexagonal tessellation (a honeycomb, for example), consists of a pair of obtuse angles (120 degrees).
adjacent
Adjacent angles.
Adjacent acute angle is not one word. An Adjacent angles are angles that are side by side.
Same-side interior angles are supplementary. They are not always congruent, but in a regular polygon adjacent angles are congruent.