No. This game is not built for mobile, therefore, mobile controls will not be added.
Unity WebGL doesn’t support mobile devices. It might work on high-end devices, but current devices are often not powerful enough and don’t have enough memory to support Unity WebGL content.
see https://docs.unity3d.com/Manual/webgl-browsercompatibility.html
(and also attempting to add pointer-based controls would require a stupid amount of refactoring/reworking of the game - too much refactoring for what was supposed to be a simple stupid game jam game)