Can you marry your second cousin?

Yes, in most places you can marry your second cousin. However, some people and some cultures are uncomfortable with such a marriage.

All the States in the US allow the marriage of 2nd cousins. A number of states allow the marriage of 1st cousins.

From religious point of view, most religions do not forbid it. Christianity, Judaism and Islam say nothing about the prohibition of first cousins marrying let alone second cousins.