Answer
No. Because the events "a patient visited the doctor for a blood pressure check" and "a patient visited the doctor for urinalysis" are not disjoint events.
Work Step by Step
In this case, we are considering that it is possible that a selected patient visited the doctor for a blood pressure check and for urinalysis at the same time. So, the events "a patient visited the doctor for a blood pressure check" and "a patient visited the doctor for urinalysis" are not mutually exclusives (disjoint events). Then, we must use the General Addition Rule (page 273):
$P(blood~pressure~check~or~urinalysis) = P(blood~pressure)+P(urinalysis)-P(blood~pressure~check~and~urinalysis)$
