Does Improved Grab pull in the grappled regardless of weight?

Reviewing the choker I noticed the default strength is only 16. It caused me to wonder if an improved grab can pull a creature up in the air even if the strength does not have enough to carry (envision either a very heavy character or a magically strength reduced choker if you need to).

Improved grab itself seems silent on the issue, though it does mention weight when talking about moving the creature being grabbed which makes me suspect it would be limited:

It can even move (possibly carrying away the opponent), provided it can drag the opponent’s weight.