Nope.
If you alter the 3rd, the chord becomes a minor or suspended.
If you alter the 5th, the chord becomes diminished or augmented.
If you alter the 7th, the chord becomes dominant, unless the 3rd is minor, then it just becomes a min7. Flatting the 7th twice forms a dim7, if the 3rd is minor.
Those three degrees can change the actual chord name.
The 2nd, 4th, and 6th are less important degrees. If you add a 7th, they become 9, 11, and 13, which is like adding "7" to those degrees. (This is the way I look at it.)
When you alter these you don't really change the type of chord. You're just extending it.
If the chord was originally a dominant, and you add a 9, it'll still be dominant. It'll just be a dominant9.