Generally, yes for short distances, but it isn’t risk-free. Many photographers do carry a tripod over the shoulder with the camera attached, and a properly tightened quick-release plate and head will usually hold.

The main caution is that shoulder-carrying adds bouncing and side-loading forces that are different from normal tripod use. That can stress:

• the head-to-tripod threads
• the head’s locking mechanisms
• the camera-to-plate screw
• the quick-release clamp
• the lens mount, especially with heavier lenses

So it’s reasonable for moving a few meters between positions, but less ideal for long walks or rough movement.

Good practice:

• check all connections whenever you pick up the tripod
• keep one hand on the tripod/camera while walking
• use the camera strap as a backup by threading it through the tripod legs so a release failure won’t send the camera to the ground
• be extra cautious with long or heavy lenses

Bottom line: usually fine if everything is secure and you’re only moving a short distance, but it does increase stress on the system, so treat it as a convenience rather than the safest carrying method.