Bump doesnt change outline of the model. The only way to get true displacement in Eevee is to use Displace modifier with the same texture and UV coordinates as in the shader
FYI, in your Displacement node setup, your wood texture should go into Height (the best option will be to paint special grayscale map for that). Normal controls the direction of the displacement, in case you need it to be different than the existing normals of the object. Of course, it will only work in Cycles, not Eevee
You should be able to replicate the same effect using the displacement modifier. You just need to give the modifier you image texture and adjust the settings a bit (and don’t forget to set the modifier’s coordinates to UV).