No, sir. It is a conceptual statistic. It is related to an imaginary baseline player & how much better a given player is than that player, how many wins he is likely to add to the team. In the game if the team changes levels then the same player will have a different WAR. Much like if the calculation for WAR changes (the comparison player, or baseline), the player ends up with a different WAR.
Babe Ruth career WAR listed as 162.1.
https://www.baseball-reference.com/p...ruthba01.shtml
WAR v. 2.2 explained.
https://www.baseball-reference.com/a...xplained.shtml