Tile finish for a floor construction with dry infill materials?

Yes, that is possible. There are 2 solutions for this:

• Glued tiles: You only need to add a decoupling layer to the floor structure. For example, by placing a decoupling mat on the wooden boards and tiling on top of it. This decoupling layer is necessary because wood will 'move' throughout its lifespan due to expansions and contractions. As a result, there is a different coefficient of expansion than with tiles, which could otherwise cause them to crack or even break.
• Non-glued tiles: Drytile is a tile that no longer needs to be glued to the substrate. This tile has a cork layer on the underside that, as it were, adheres to the substrate. Note: a perfectly flat substrate is required for this, as it is no longer possible to adjust the height with adhesive as with glued tiles.