Can you push figures into, say the hanger on tile 19A from the core game or into the Sarlac Pit on tile 04B from Jabba`s Realm? and if yes does that destroy that figure?

No, a figure cannot move or be pushed into impassable terrain or through impassable terrain edges. (Mission rules can change the general rules.)

Impassable terrain is represented by a dashed red line
surrounding a space of the map. A figure cannot enter a space
containing impassable terrain.
· Sometimes impassable terrain is only on one edge of a space.
Figures cannot move or be pushed through this edge. Large
figures cannot move onto, be pushed through, or be placed on
an impassable edge unless they have a special ability that allows
this, such as Massive or Mobile.
· Line of sight can be traced through impassable terrain.

Ok, thanks