Jumping is not present in vanilla Doom and Heretic, but implemented in Hexen and Strife. Jumping can be selectively enabled or disabled through MAPINFO map definitions and through the gameplay options menu.

Does Hexen have jumping?

Jumping was not implemented originally in the Doom engine, and neither Doom nor Heretic offer it, however it was added to Hexen and Strife. ... Doom 64 allows access to its jumping feature after completing a secret level (Hectic) "the hard way".

Did Hexen have crouching?

Although not technically crouching, Heretic and Hexen allow, by their transformations in chicken or pig, to obtain the diminished hitbox permitting to pass through low passages.