No, can KV were only used on the beginnig of the war, production stopped early in favor of t34 (if my memory is right)
kv production stopped only after IS line(is1 was kv-13 originaly)
last kv model was kv85 (
https://ru.wikipedia.org/wiki/%D0%9A%D0%92-85 ) made in 1943,and about 150 models.
actualy IS is new name for KV line (Kliment Voroshilov in 43 was not worth to have his name on best armor of country) and after stalin deth next is tank become the T10 (T-tank(танк) and 10 as tenth heavy tank in red army service (T35,КВ-1 -2 -1c -8,ИС-1 -2 -3 -4))