Can you move through enemies in Frosthaven?
No. Figures can pass through allies but not enemies, obstacles, objectives or walls. Push and pull follow the same rule.
Normal movement: you may move through hexes occupied by allies, but never through enemies, obstacles, objectives or walls. You also have to end your movement in an unoccupied hex.
Push and pull are only exempt from difficult terrain. Every other movement rule still applies, so you cannot push a monster through another monster or through a wall.
Jump is the exception people mix this up with. Jump lets a figure ignore obstacles and difficult terrain on the way, but it still cannot pass through walls.
“Figures can move through allies but cannot move through enemies, obstacles, objectives, or walls.”
Rules change with errata and with digital patches. If your copy of the book disagrees, the book wins — the official Frosthaven FAQ is the next place to look.