Bidding systems sometimes define weak two bids by high card points only, NOT including distributional points.
For instance, SAYC defines weak 2 bids as 5-11 high card points, whereas most other bids except NT are generally defined in "points" (which includes distributional valuation). I use SAYC as an example because I'm not too familiar with ACOL...
To take an extreme example, let's say I have a 2-suited hand, with a 9-card
♠ suit (missing the AKQJ) and 10987 in
♣. I would open with this hand despite having 0 high card points.
For the later part of your question, there have been many extended discussions about psychic bids on this board.

If your system, as disclosed to the opponents, calls for weak 2 bids with 0-10 points, it's not psychic. It's when your bid doesn't match what your system says it should be, that it may be psychic. Usually only when it's far out of line, though -- not just shading a point

And of course, some bids, even if disclosed to opponents, may not be allowed in some levels of play (highly unusual methods, forcing pass opening systems, multi or Polish club in some tournaments, etc.).