you can run turbo on a vtec. but with proper tuning, and upgraded oil and cooling systems for reliablility.
running a turbo vtec to 8k rpm will make that temp rise very quickly.

1/4 mile runs are quick but autox or road racing, you push the whole car to the limits

it can work to have a turbo vtec reliable, but you better make sure you can stop too upgrade brakes

Boost Lee