Yes.Do houthis have cruise missiles? never heard of them. But they do have some shitty Ballistic missiles for sure.
Ya-Ali (400 KM claimed range)
Quds (700 KM claimed range)
Soumar (1200 KM claimed range)
Houveizah (1400 KM claimed range)
These are developed with Iranian input (and supply of parts).
Yemen also had stockpile(s) of the Chinese-origin C-802. This inventory is depleted.
Among ballistic missiles, Burkan-class is the most prominent.
Source: Breaking Defense
The latest Burkan-3 is impressive for a liquid-fueled design.