Yes -- and for Large/Transport airplanes, Part 91 goes on to state:
§ 91.605 Transport category civil airplane weight limitations.
[...]
(b) No person may operate a turbine-engine-powered transport category airplane certificated after September 30, 1958, contrary to the Airplane Flight Manual, or take off that airplane unless—
(1) The takeoff weight does not exceed the takeoff weight specified in the Airplane Flight Manual for the elevation of the airport and for the ambient temperature existing at the time of takeoff;
(2) Normal consumption of fuel and oil in flight to the airport of intended landing and to the alternate airports will leave a weight on arrival not in excess of the landing weight specified in the Airplane Flight Manual for the elevation of each of the airports involved and for the ambient temperatures expected at the time of landing;
However, compliance with the above is no guarantee that an airplane will be able to extract from an IFR approach simply by flying the (all engines) published missed approach procedure after losing an engine. That calculation is left to the operator and its provider of performance engineering/analysis.