Answer
No.
Because P(primarily drives a car to work) + P(walks to work) $\gt$ 1
Work Step by Step
The events "a worker primarily drives a car to work" and "a worker walks to work" are mutually exclusive. So:
P(primarily drives a car or walks to work) =
P(primarily drives a car to work) + P(walks to work) =
$0.867+0.15=1.017\gt1$
It is impossible.