Not flying the 737 but I strongly agree with the two posts before.
Doing a landing using a 'mistrimmed' AC (any AC being trimmed, i.e. not an Airbus) is in my personal oppinion an accident waiting to happen.
Let's say for example that - for whatever reason - you have to reject the landing and your colleague has to take over control. He is definately not expecting the aircraft to be out of trim (!) and would have to struggle with that additionally during an already highly dynamic situation. Definately not desireable.
Cheers,
DBate