https://www.merriam-webster.com/dictionary/basin

A) an open usually circular vessel with sloping or curving sides used typically for holding water for washing

B) chiefly British : a bowl used especially in cooking

C) the quantity contained in a basin spilled a basin of water on the floor

Not only is that not a measurement the US uses, the only geographical location mentioned in the definition is "chiefly British."

So, uh, "no."