Near as I can tell, the Star Trek Transporter device is more impossible than time travel.
Unless they actually used the Holodeck, with an avatar on the planet's surface, scanning and duplicating the appearances on the holodeck, and the crewman's appearance on the planet.
Big safety advantage! No poisonous plants, holes in the ground, or subtle poisons which only act on individuals wearing red shirts.
Geordi LaForge used one, connected through his "visor" but he still got hallucinations.
LOL! Some day I at least want to go to the Star Trek Experience in Las Vegas.