Climbing can be done in many ways
In order to make a surface climbable, it needs to have the tag SurfaceToClimb added to them. That way you only climb what you need and not everything in the player's path.
You may need to add the Tag to your Tags and Layers if it doesn't already exist.
If you only want to climb when the player presses a specific button, make sure it's added as a Button Event in Activate Device in the Use Devices Category.