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I would say no. Since vector location is subjective, only the direction and magnitude is fixed, two opposite vectors could be overlapping, fully or partial or not at all. To say they are parallel would imply that cannot overlap.
So while it is possible for opposite vectors to be parallel, it is not an assumption that can be made.
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What is an opposite vector?
It is a vector with the same magnitude (size) but acting in the opposite direction.
What mathematical operation do you do when two vectors point in opposite directions?
You do vector addition.
What is the result if you subtract a velocity vector to another velocity vector?
The result will also be a velocity vector. Draw the first vector. From its tip draw the negative of the second vector ( ie a vector with the same magnitude but opposite direction). The the resultant would be the vector with the same starting point as the first vector and the same endpoint as the second. If the two vectors are equal but opposite, you end up with the null velocity vector.
What are the opposite sides of a rectangle called?
parallels
What is the vector equal but opposite to the resultant vector?
equilibrant
