Update: The 1.03 patch for the PC version has added a new character, Gnaw, who has an attack called Acid Spit which makes it possible to track enemies while they are cloaked (though it doesn't remove the cloak effect itself). If you watch this Youtube video of Bunnymancer playing Gnaw, you'll see him hitting an enemy Leon with Acid Spit and tracking him even though he is cloaked.
Original Answer: No, there is no way to reveal invisible enemy players.
Currently, Leon's Cloaking Skin is the only ability that allows players to become hidden from the opposite team, and the only way to end the effect is for the invisible player to take an action other than moving or jumping.
The invisible Leon will still take damage if hit by attacks, but this will not remove the invisibility.