Yes, I think so but obviously not sure at this stage. Some motors are fairly happy being stalled, but it may be necessary to limit the stall current, which should not be too difficult. Limit switches may be necessary in the end.
Of course, the best way to do this job is with an Arduino, which with a real time clock (RTC) shield and motor H bridge shield could do the time keeping and control the motor. The whole shooting match would probably cost under £10UK and could even be programed to make the chickens a cup of tea in the morning.
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