Afaik it’s the other way around. Power meter exist which output voltage, current, power factor, frequency, etc. and they also include ct-based technologies for measuring the current. 
Again, to only measure current (with a ct-clamp/coil) on a AC system which not exclusively has a resistive power load will simply not be sufficient to know the real power (@take @supersebbo as an example) 
And still didn’t bother to open one of the many links which provides you with knowledge your are obviously lacking at the moment. 
Not complex, simple math. But you should just really take some 20 minutes and just read the basics really 
Other then your ct clamp which is a current meter only the pzem004t v3 is a energy meter which measures current, energy, power, voltage, frequency and the power factor. But yes, it includes a ct coil for the current measurements 