Guess that's a problem with some bearing, probably related to alternator, power steering pump or one of the timing belt tensors.
I would start by removing the alternator belt, and check if the noise continues. If so, then would remove the power steering belt.
If after all that the noise is still there, I would try to pinpoint the the exact location of the noise, at least, from what part of the engine does the sound comes. It could be a number of things, but would bet on something related to the timing belt, either tensors or water pump.
I am sure that is not related to the VTec. In the 1.8 and 2.0 engines, the vtec engadgement is not very noticeable, but if you accelerate hard on 1st gear, you should feel a slight difference at about 4500rpm, in both acceleration and change of intake sound. Once again, the difference is not too much, but it's possible feel it.