6G will push mobile edge computing to strict limits in latency, energy, security, and resilience. We evaluate the feasibility of Mobile Edge Quantum Computing (MEQC) with a hardware-grounded framework comparing six leading modalities: NV centers, silicon spins, superconducting circuits, trapped ions, neutral atoms, and photonic processors against edge metrics (SWaP, temperature envelope, control/I/O bandwidth, readout throughput, maintainability, and maturity). We scope only shallow variational loops and Grover-class search under realistic trainability/noise limits, and outline three integration patterns (tightly coupled, LAN-attached, and in-network) with PQC-first security and selective QKD. NV and Si spins emerge as the most credible edge options; photonics fits networking; others suit central-edge/cloud. Our contribution is a deployability-oriented comparison, edge integration patterns, and standards-anchored guidance for architects.