No, they can pick but they can and will be passed over until they do. As long as the person in front of you has legally picked, you can pick.
therefore democolson, whose spot was from 2-2:30 can make his 2nd round pick at any time, but will get passed over until he does.
At the same time, you can't pick until 3 pm because tonyvoss who is immediately ahead of you has not picked. You can pick at 3 and roadhouse can pick immediately after you since you have picked.