Yes, but the Crossrail line physically passes under the LCY ramp at the western end. It's a sad story of so near but so far.
It passes under the Jet Centre entrance gate, the middle of the GA aircraft stands, and the fire service trainer. The end of the western passenger pier is closer to the rail line than it is to the terminal building. I can't think of another city that would have a brand-new major rail line built passing directly under a major airport without any provision for a station.