No. The Church of Jesus Christ of Latter-day Saints (the “Mormon” church) banned the practice of polygamy (having more than one wife) over 120 years ago, in 1890. Anyone found entering into a polygamous marriage today is excommunicated from the church.
Mormons do, however, believe that a man can be remarried after a divorce or death of his wife. In this way, a man can have more than one wife throughout his lifetime, just not more than one at the same time.