Hey,
There is no built-in Highcharts functionality to do that but I managed to do it using SVGRenderer. I removed connections between points in the line series and draw new ones using renderer.path. They update along with the chart to you don't need to worry that they will be missaligned.
Demo: https://codesandbox.io/s/priceless-danny-1xp9cg
I hope you will find it useful
Best regards
Jakub