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If EMdrive is real and scales with Q factor then we get almost Star Trek level Technology
If the NASA emdrive performance of 1.2 millinewtons per kilowatt.
8.3 TeraWatts of power would be needed to provide 10 million newtons of thrust to accelerate a 1000 ton space-craft at 1 gee of acceleration. We have no power source that could generate 8.3 TeraWatts for a 1000 ton spacecraft.
If EMDrive performance increases with the Q-factor as some have theorized, then we could tune the cavity and make it superconducting. If we take the NASA EM-Drives and pump the Q factor to ~30 million, then about 2 GW power is needed for the sustained 1 gee thrust.
Theoretical nuclear fission reactors could power such a spacecraft. Gas-core or magnetic collimator fission-fragment reactor might be work but have been theoretically designed and have very limited experimental development.A fast-spectrum reactor with a thermal output of ~ 6 GW and ~35 % thermal conversion efficiency would be a first pass design to supply the power.