Question

Is mean look the only move that can trap your opponent?

Answer 1

No.
Spider Web, Block, and Mean Look all share the same effect.

Abilities like Arena Trap / Shadow Tag can also trap them.

Clamp, Sand Tomb, Fire Spin, Whirlpool, Magma Storm, Wrap, and Bind can also trap, just not forever.

Comments

Sand Tomb, Fire Spin, Whirlpool, Wrap, and Bind are moves.

Answer 2

Trapping Moves:

Mean Look
Block
Spider Web

Partial-Trapping Moves:

Clamp
Sand Tomb
Fire Spin
Whirlpool
Magma Storm
Wrap
Bind