This depends so much on what question you want to ask MCNP. X and 6 can calculate some forms of depletion but I don't know if they simulate poisoning and every fission product.
Iodine-135 and it's decay to Xenon-135 are especially relevant to reactor operation, but all fission products start as the double humped curve mess you see in textbooks.
The answer is also going to depend strongly on what type of system you are modeling. The most important fission products for a thermal system are much different from the most important fission products in a fast system.
For example, Xe-135 is extremely critical in a thermal spectrum, but only modestly important in a fast spectrum.
In practice, the list of "important" fission products is usually tuned for each reactor type.