Spiro:
F-22
Power Plant: Two Pratt & Whitney F119-PW-100 turbofan engines with afterburners and two-dimensional thrust vectoring nozzles.
Thrust: 35,000-pound class (each engine) 70000 total
Weight: 43,340 pounds (19,700 kilograms)
Maximum Takeoff Weight: 83,500 pounds (38,000 kilograms)
Fuel Capacity: Internal: 18,000 pounds
With max fuel it weighs 61340lbs vs thrust of 70000lbs, hey presto it has thrust/weight ratio of better than 1:1. Pretty sure F-15, Typhoon, su-27/31 etc will all accelerate in the vertical as well
The calculation is not quite as simple as that. The aircraft would have to an airspeed sufficient for control authority, so there would be induced drag to add into the calculation. Also, the maximum thrust figure is likely to be at the airspeed where the compressor is at its most efficient - which might be quite a high airspeed, when the airframe drag would be significant.
Likewise, the Harrier can clearly accelerate vertically when in VTOL mode, but not necessarily when in conventional mode.
I am not saying categorically that either aircraft cannot do it - just that the simplistic arguments presented do not prove that they can.