Generally, yes. But remember that there are difficulty adjustments, and it's conceivable that there are two chains, one being a bit shorter but with higher difficulty, and that can have precedence over the longer but easier one. The point is that you want the chain embodying most work, no matter how long.

(And note that a) the difficulty is included in the header that gets hashed, and b) it is easy to check that the block conforms to the specified difficulty.)

That's why "heavier-chain-rule" would be a better name than "longest-chain-rule", strictly speaking.