Yes, it is possible, especially with older controls that use a fixed code. These devices always send the same signal, which can be captured by criminals using simple radio frequency recording equipment. After that, they can reproduce this signal and open the gate as if they had the original control.
This is exactly what happened recently in São Paulo, when an engineer was killed after criminals cloned the control for the gate to his house. The crime was committed without a break-in, showing how this technological flaw can be exploited.
Modern controls use the Rolling Code system, which generates a different code each time it is used, making cloning practically impossible.