Yes, it can be made. To drive 6mA through 200k you only need 1200V ( Just Ohms law) But if you do not mind, I'm not gonna design something that dangerous for you ;-)
But what do you want, first you construct a circuit that should source not more as 2 mA but you get 4 mA and now you need 6mA ? First make up your mind or tell more about what you want. You need AC or DC for instance ? The impedance ( R+jX) of a body is not the same as the DC resistance.
The math: Devide the maximum voltage of you source without a load with the resistance of the load to get the current
Or divide that voltage with the current and then you know the load.
So if the unloaded voltage is 5V and the load is 200k there will be 5V / 200k = 0,025 mA . Or the other way around, If you measure 4mA and you use 5V the load must be 5V / 0,004A = 1250 Ohm (just random examples, you can fill in the values you need)
A body is not a constant impedance, it varies very much. Even one person can and will have differences in impedance between different parts of the body and different times. So a current source is not a good idea, better use a source with a fixed voltage that is limmited to a max current. Then make a very sensitive receiver. But first read a lot about safety. You do not want to electrocute or torture people (I presume)