Yes, if you take proper measures, a robotic lawn mower can operate in a garden with a trampoline. Lay down wooden boards or span a perimeter cord around the trampoline. That way, a robotic lawn mower can neither get under a trampoline on poles and nor drive over an in-ground trampoline.
The Elegant trampoline has a 25-cm high ring at the bottom side of the frame. It depends on the height of the robotic lawn mower whether it can fit under the Elegant trampoline.
It is better not to enable robotic lawn mower to run under the trampoline. That way it cannot damage the trampoline and it does not pose any risks when people are bouncing on the trampoline. So how do you keep the lawn mower away? Lay down wooden boards or span a perimeter cord around the trampoline. That way, the robotic lawn mower can never get under a trampoline on poles nor drive over a dug-in trampoline.