Yes and no!
Many active pickups have a preamp built into them. EMG coils for example actually produce a very low level sound and the internal preamp boosts it to a useful level. But that preamp is not really tone shapingl, it's just bringing the level up. There are no controls for the internal preamp.
Then you can add an external preamp / EQ system on top of that if you want.
EMG do have a couple of guitar active EQ systems and as said elsewhere - Dave Gilmore is quite a fan.
But then sometimes (usually on basses) a normal passive pickup is connected to a an active EQ / preamp. This can be done on guitars as well, it's just that the choices are fewer.