Tile on Particle Board?

I am going to assume that you mean “install directly on particle board.”  In other words, using the particle board as an underlayment for tile.

You can install tile indirectly on particle board, as long as you have a proper intervening underlayment.

But, no, it would be a disaster to install tile on particle board.

Cement board, plywood, and concrete are good bases for tiling.

Particle board soaks up water like crazy.  When you are installing tile, you will use thin-set mortar, which is loaded with water.  The minute the mortar comes into contact with the particle board, the board will begin sucking the water away like a sponge and ballooning up.

By the time your tile installation is finished, the entire floor will be dippy and slope-y and mushy from that wet particle board.

Do not install tile on particle board.