It is completely possible. I have a Z-28 that'll pull wheelies all day long but still drive around normally as long as i'm easy with the gas.
The easiest way to do it is just to adjust the CoG backwards. But it'll be weird to drive normally if you just do that because you'll have to have almost no weight on the front wheels.
What you need to do is:
increase the power (doesn't have to be insane...i use 650hp)
lengthen the rear suspension
raise the rear ride height
lower the rear damper rate
after getting those to somewhat reasonable levels, then you can slide the CoG backwards...but now you won't have to bring it back as far..which will allow you to still have weight on the front wheels, until you decide to stab the gas pedal and lift the front end up.
Once i get home later today, i'll try to make a quick video clip and give you the settings that i'm using for the camaro.