Does Paul Manafort face double jeopardy if he goes to trial in New York?

Double jeopardy, when you’re charged for the same crime twice, is illegal under the U.S. Constitution. Paul Manafort may be a victim of it. He’s been sentenced to more than seven years on federal charges and now faces charges in New York state. Are the charges the same, or similar enough, to fall under double jeopardy?