If you mean, can a person list on multiple flights, such as in the DFW-ORD market. Technically, yes but there is no need to. If you are listed and checked in for the first flight of the day and you don't get on and you have presented yourself in person at the gate podium, you are automatically rolled over to the standby list for the next flight. In addition, you take priority over the people who are just checked in for that next flight.
Also, I understand that the company is cracking down on "non-rev" abuse--such as listing oneself on multiple flights--because it messes up load estimates, etc. It is technically a violation of corporate travel policy to multi-list.
A couple of other things the company is cracking down on...
1. Say you are a f/a or pilot, and you are non-revving home at the end of your sequence, but you will be in the air when the 4-hour window for check-in is reached; so, you have someone else sign on to the computer with your id and password and check you in for the flight. Termination offense--2 times. Violation of corporate non-rev travel policy (first come, first served applies always within a category) and you gave your computer password to another person. Violation of corporate computer security policy.
2. Same situation, but you list and check in for a flight that will depart before you arrive at base because you know that you will roll over to the standby list for the flight you want, but at a higher priority than the people who just listed for that flight. (This should not happen because of the "present yourself at the gate podium" rule, but the poor agents are so short staffed and overworked these days that they don't have time to purge the standby list of no shows most of the time. They just roll the entire "leftover" list to the next flight.)