First, there is no simple Yes/No as investigating and judging emotionality is different game in different aspects of emotion. So one cant draw a overall picture of current scientific knowledge and sum it up to a simple more as there are too many apples and oranges to compare.
what Wikipedia says on gender and emotion:
Studies of psychological gender
differences are controversial and
subject to error. Many small-scale
studies report differences that are
not repeated in larger studies.
Self-report questionnaires are subject
to bias, particularly if the subjects
are told that the questionnaire is
testing for gender roles. It is also
possible that commentators may
exaggerate or downplay differences for
ideological reasons
From this follows:
In general, this sex and emotion Wiki-article shows some gender differences. Male hormone Testosterone for example seems to reduce pain sensitivity, and female estrogen raises it
If you want a more exact answer, you have to make a more specific claim, e.g. gender dependence of pain perception or empathy ability are, in my opinion, more precise, answerable questions. Other aspects of emotion are extremely hard to define and objectively measure.
Up until recent times it was generally assumed that women were much more emotional than men.
Who says so? Where are the numbers? I don't know such an assumption, so it can't be that general.