No. Atomic emission spectrum is non-contiuous and it is named as line spectrum.

To identify an unknown sample by its emission spectrum

absorption spectrum

No. It is not possible for two metals to have the same emission spectrum. For metals to have the same emission spectrum, they would need for their electrons to have duplicate orbitals. That would be impossible due to the exclusion principle.

The difference between continuous spectrum and the atomic emission espectrum of an element is that in emission spectrum, only certain specific frequencies of light are emitted while in a continuous spectrum, a continuous range of colors are seen in the visible light.