I agree with Amine.
In your sentence, you state 'there are 4 men in the village'. If they all share the same profession, you can write "They are all teachers" or "They are all engineers" etc.
However, as they don't share one profession, instead of They is/are, you would use There is and there are (if you were writing it out in full):
There is one teacher, [there are] two engineers and [there is] one nurse, or;
There are two engineers, [there is] one nurse and [there is] one teacher.
As Amine pointed out, you can shorten the sentence to by omitting there is/there are altogether:
There are 4 men in the village: a teacher, two engineers and a nurse.
If you still wish to use there is / there are to introduce the 4 men, it depends on which of the professions you start with as to whether you start with there is or there are:
If you start with a plural noun (engineers): There are two engineers, a teacher and a nurse
If you start with a singular noun (nurse): There is a nurse, two engineers and a teacher
It is a much more efficient way of writing to simply state :
There are 4 men in the village: a teacher, two engineers and a nurse.
Hope this helps.