Would Aqualyx/fat dissolving injection be a good option to improve my jawline?

I have a hereditary double chin which I absolutely hate. I had a chin filler a couple of months ago, and will probably get a bit more next time as it did make a difference. However, my jawline still isn’t great, absolutely no definition as I’ve got fat underneath my neck that won’t budge. Kybella isn't an option as it is not available in the UK yet. I am going to book in for some consultations but wanted to get advice on here first!