It's hard to tell how the chin looks in relation to the rest of the face since the picture only shows your lower half(I'm not asking you to post a full face pic) but I suspect that it does lack some height. In that case I don't think an implant is a good option.
My chin height is 40mm, about average but clearly less than ideal. Chin implants actually can offer an increase in chin height by about 2-3mm but no more than that. From what I've read, they CAN offer height but it's limited.
I won't post my full face, but even if I were to get 5mm vertical height on my chin, my face would look quite long.
I'd rather have a wider and more projecting chin with minor vertical chin height
I'm going to use a crude example here, but Henry Cavill has a averageish chin height yet makes up for it with width and projection, giving a squarer jaw look. I'm obviously no Cavill but I think a wide/projecting chin could work for me as my jaw is quite wide.