The feat Dimensional Agility (Ultimate Combat, page 95) has the prereq of "Ability to use the abundant step class feature or cast dimension door."
If a wizard takes the Teleportation school (Advanced Players Guide, page 147), giving him the ability to teleport as if using dimension door, does this fulfill the prereq to allow the wizard to take the Dimensional Agility feat?
Strictly speaking (RAW) it's "as if" you were using dimension door, so you definitely don't qualify for the feat. However, I think it would be ok to house rule it as acceptable (depending on the character). Note that it simply doesn't allow an AoO when you use it, but then the range is very limited, so unless you are making a melee type character (EK, Wiz/Magus), you shouldn't have too many problems with game balance.
Where this messes up is that the ability is a swift action to begin with, so no AoO from the start, Dimensional Assault (and the rest of the feats) could be used many more times than intended (especially at close range).
Ultimately, the answer is definitely "no", and any discussion about house-ruling a yes belongs in the homebrew section.