After being drawn into a gate during an Encounter, do you have an Other World encounter in the same turn?
Yes.

Arkham Horror rules (page 10) says your character gets delayed after being sucked be a gate. Beign delayed means that in the next turn, during the movement phase, the only thing you do is to stand your character token (page 16). Nothing else is affected, so you should have your other world encounter.



For reference, below is the wrong answer I wrote before @Jefromi commented it.



No, although I'm unaware of any specific ruling about this.

Arkham Horror rules (page 10) says your character gets delayed after being sucked be a gate. Beign delayed means that in the next turn, during the movement phase, the only thing you do is to stand you character token (page 16). Nothing else is affected, so you should have your other world encounter.

But the FAQ (page 4) says:


  Q: Why is an investigator delayed when a gate opens up in their
  location, but not delayed if he enters the gate normally?
  
  A: If the investigator was not delayed by a gate opening up in his
  location, he would be able to get through the Other World having only
  one Other World Encounter rather than two.


So it seems that an investigators sucked through a gate should have exactly two Other World encounters. Should you have an Other World encounter this turn, next turn you'd stand your character marker, have an encounter in the first Other World position, then in the following turn you'd move to the second position to have a third encounter. This seems to contradict what is suggested in the FAQ. In this situation, the only thing that you can do to avoid violating more specific rules is to not have an Other World encounter when you're sucked by a portal during an encounter.