It's possible and I have seen it many times. Might be due to company procedures but it does happen especially at light weights and high T/O thrust reductions.
Also it is more beneficial over the life of the engine in both fuel and maintenance to take max thrust reductions as SFC has a direct relationship to EGT. EGTs increase over the life of the engine as does the SFC hence the greater the reduction, the less the EGTs increase and the less fuel burnt.