Maybe.
Your aunt is the sister (or sister in law) of either your mother or your father, so her first cousin may also be the first cousin of your mother or father, though not if they are an in-law. The daughter of your parent's (or your aunt's) first cousin is your second cousin. If we are talking about your aunt's second cousin, the daughter is your third cousin.
Or you may not be related at all. You must share a common ancestor to actually be related.
Your are related to some of your first cousin's aunts and not to others. The aunts of your first cousin to whom you may be related are your mother and her sisters or your father's sisters. One of the parents of your first cousin isn't related to you, but married into the family. Anyone of your cousins aunts who are related to that person would not be related to you.
First cousins, twice removed. Aunts daughter is your cousin. Aunts daughters daughter is cousin once removed Aunts daughters daughters daughter is cousin twice removed.
The grandchildren of any of your great uncles and great aunts are your second cousins.
You are second cousins to each other.
Your aunt is the sister of either your father or your mother. If your aunt is your father's sister, then your father's cousin is also her cousin. If your aunt is your mother's sister, then she is not related to your father's cousin.
Your parent's cousins are aunts and uncles only if they have brothers or sisters who have children. Your parent's cousins are your cousins, once removed.
great nephew
their parents, brothers, sisters, cousins, aunts, uncles, and people who are related to them.
Your niece and your daughter are first cousins. Your daughter and the daughter of your niece are first Cousins, once removed.
They are second cousins
Anyone descended from a brother or sister of one of your direct ancestors is your cousin. There are different names for different kinds of cousins. For example, your first cousins are the children of your aunts and uncles. Your second cousins are the grandchildren of your great aunts and great uncles. Your parents'first cousins are your first cousins, once removed. And the children of your first cousins are also your first cousins, once removed.
Your aunts' grandkids are your cousins. They are the children of your aunts' children, making them part of your extended family. Depending on the number of aunts and their children, you may have multiple cousins who are considered your aunts' grandkids.