Is it normal that charts from Chart JS are not interactive in the game? For example points on line chart are not showing value on hover.
Not sure. Can you post an example?
It should work, here is (javascript - How to use ChartJs in Phaser Game - Stack Overflow) an answered question on stackoverflow, with a working demo. There you can see a working intergration with chartjs.
The gist is you would have to add the chart using the Phaser.GameObjects.DOMElement, if you want interactability with the chart.