Entirely possible, but that's not what was suggested.

I think there would also be debate around how the quota is split between categories. I highly suspect that are much few Foreign Law advisors or Psychologists attempting to get H1Bs than there are "IT/Computer Professionals" (and many less positions available for them); giving each category an equal split wouldn't be fair either.

I'm not saying there isn't a way, but it would have issues too.