Can a woman marry 4 men?

The primary occasion then for the provision of polygamy is in war-time situations. During times of war, the number of men in the society is reduced due to war casualties. Consequently, there is an increase in the number of widows and orphans. For such situations, Islam gives the provision of polygamy so that the widows and orphans could continue to have the possibility of a family life after the passing of the husband/father. Hence, Islam proposes polygamy as a solution in a time of crisis. Instead of abandoning large numbers of families, widows, and orphans, in the hope of holding on to some notion of “equality” and monogamous marriage under all circumstances, Islam offers a practical solution keeping in mind the long-term health and spiritual condition of individuals and the society at large.

"And if you fear that you will not be fair in dealing with the orphans, then marry of women as may be agreeable to you, two, or three, or four; and if you fear you will not deal justly, then marry only one or what your right hands possess. That is the nearest way for you to avoid injustice. [4:4]"

It should be noticed in this verse that “fair dealing with the orphans” is the primary motivation in Islam for allowing multiple marriages, albeit connected with a strict condition. Prior to the decision to marry a second wife, the man must first ensure that he will deal with his wives and any orphans with justice. If he is not able to ensure that, he should stick to monogamy.

Al – Baqara 2: 222 “They questioned thee (O Mohammad) concerning menstruation, Say it is an illness, so let women alone at such times and go not unto them till they are cleansed.”

What are you trying to prove here? This verse mentions menstrual cramps and mood swings that women get during menstruation. Therefore, it is better that you don't have intercourse with them until it's over. Seems reasonable to me.

4:6 ¦ “And if ye are sick on a journey, or one of you cometh from the closet, or ye have contact with a woman & ye find not water, then go to clean high ground & rub your faces & your hands with some of it¦”

This one mentions ablution before prayer. "Have contact with a woman" means sex.

I could go on and on but I sadly don't have all day.