If it exists, it will get recreated in Minecraft — and Titanfall is no exception.
Technically, this Minecraft mini-game isn't called Titanfall — it's called Ironfall.
The mini-game, which you can see in action in the above footage from BrenyBeast - Minecraft, takes all of its inspirations from Titanfall — from the guns to the maps to titans themselves (only the titans in this case are golems, and a team can only have four golems at a time.) Right now, only the "Rise" map in attrition mode is available, but they're working on more maps.
And in case you're curious, the game is 8 vs 8, and the first team to 100 points wins.
Naturally, you can call in titans. You can see this in action around the 1:20 mark in the first video in this post, but if you just wanna see pictures, here ya go. When you call in a titan/golem, you trigger "ironfall", and your titan/golem will land in a green circle...
...unless you call down your golem/titan on a breakable roof, such as glass, in which case it will shatter it:
Even smaller details, like double jumps, loadouts, killstreaks, pilot ejections, are included. The entire thing is still in beta, so there are a few bugs and kinks to work out, but still! This is pretty impressive, and once they add in other features like more weapons, golem types, wall-running and game modes, it will get even better.
You can play Ironfall on this server.