What does Mr.lorry mean when he says that he is a man of business?

Mr. Lorry's initial introduction of himself as the representative of Tellson's Bank hence a man of business.

he means that he is just there to do his job and not because he has an emotional attachment.

He meant that he was not used to situations that dealt with emotional matters, as he was associated with the impersonal business of financial affairs and he has devoted all his life to his job.