When testing is delayed, you are at greater risk because the abnormal cell changes are not detected early. If you have had your cervix completely removed, during a hysterectomy for example, and have no history of an abnormal Pap, it may be fine to discontinue the test.
The question of how long you can go without food depends on a lot of factors. Will and determination definitely play a part. Political prisoners on hunger strikes and fasting religious leaders have been known to go for weeks at a time without any food. Gandhi fasted for 21 days while in his 70s. People lost in the wild have also survived for long periods of time without eating. Medically speaking, most doctors agree that healthy humans can go up to eight weeks without food as long as they have water. People have gone longer and been fine, and people have starved to death in less time.
(Reuters) In general terms, the human body can go two to three days without water and, it is often said in survival guides, 30 to 40 days without food of any kind. (Many of these guides also discourage people from scavenging for wild plants or shrubs because of the adverse effects these can have.)