Do calves jump?
Calves will only jump when certain things are in front of them and they're trying to get across/through, including:
- One-block high jumps
- Fences (and they fail)
- Half Slabs
- Blocks that are slightly less than one block in height, including soulsand and farmland (1/16 shorter than a normal block)
- Water (jump continuously as they swim)
- holes (jump continuously to attempt to get out).
Not sure if there are any others. If I find any I will edit my answer.