Yes. Trucks with permanently uneven side-to-side weight; such as cranes, welders, compressors, or service bodies; can experience changes in ride height, suspension angle, and axle position that may slightly influence steering feel and handling characteristics.
Leaf spring suspensions operate through an arc rather than strictly vertical travel, so changes in spring height can also create small fore/aft axle movement as the suspension geometry changes.
The diagram below exaggerates this effect for illustration purposes. In most cases, the majority of the suspension change occurs vertically, while only a small amount affects axle position.

Diagram exaggerated for illustration purposes. Most suspension movement occurs vertically, while only a small amount changes axle position.
Suspension modifications are typically designed around the truck’s loaded working condition so the vehicle performs properly once equipment and operating weight are fully applied.