I gotta say I lean on the side of YES! Hold on now before you eat me alive.
(No pun intended) When you work you are part of an overall chain of effect that can either help or mess everyone up. Lets me give an example.
Slender Sally - Slender Sally is healthy, stays active, is more than likely to be in a good mood. She misses maybe 2 or 3 days a year and people are motivated by her performance.
Fat Fanny - Fat Fanny is a good worker and completes her job and people like her, when she is around that is. She misses 10 - 12 days a year, and many other days she seems to lack drive. When she is not there the company has to scramble for the extra workload. Which mean the whole team has to pickup more work, there by a delay in ouput. This delay causes a butterfly effect through the company, causing the shipper to leave late. The goods to get to the warehouse much later and before you know it, Million dollar multi-national sales for the country are forfeited and public spending goes down all thanks to Fanny..... Wow Thanks Fanny!
(All names used in this example are based on coincidence and do not reflect any one particular person or group)
So YES I think sometimes. :)