Yes you can. However, there are a few things that should be clarified before you take that answer on face value.
First, when you say menopause, do you mean *actual* menopause? Because true menopause occurs once you've gone twelve consecutive months without a menstrual cycle. If you are talking then, about actual menopause, the chances of getting pregnant are slim to none.
If you are talking about peri-menopause.....the 5 to 10 year period before actual menopause occurs, then the answer is yes. Depending on how early you are into the peri-menopause time period will also determine how likely it is.
I don't have the actual statistics in front of me as I write this, but statistically, the chances of getting pregnant in your early to mid 40s is very, very low (I want to say 1%, but don't quote me). However, it CAN happen.
I know for a fact, because I personally did. She is now 12 years old. :D
It is not unheard of for women to conceive in their late 40s and even at the age of 50. Again, statistically, not very likely, but it can happen.
Which is why physicians strongly recommend that you use birth control during perimenopause.
But, by the time you reach menopause, you are likely well into your 50s and the chances of conception is virtually zero.