As I understand it, PLF is calculated as the ratio of the actual power output to the maximum power output, integrated over some period of time. In that case, a PLF means that it's putting out more than the maximum, which is by definition impossible.
It depends on what you mean by "maximum load"? The plant will have been sold with a design maximum load and will probably be able to excede that value, so if you take the design maximum as the maximum load yes you might be able to get a PLF of greater then 100%
PLF is the design power-plant electrical Plant Load Factor, which may allow for worst-case summer loads where the ambient temperature is high and cooling is less efficient (~60% of Btu's go to waste heat), and the heating in HV transmission lines (and the associated sag in the catenaries) is less. So perhaps on a cold winter's night, it may be permissible. 100% PLF is not a physical limit. It may depend on power factor (volt-amps/watts).
Bob S.