I'd say not in this context. People rise to the occasion, but "corresponder a las circunstancias" would mean that something is congruous with the situation, not the person.
- Esa actitud no corresponde a las circunstancias. -> That attitude is inappropriate in these circumstances.
- Los diferentes estilos del pintor correspondÃan a las circunstancias cambiantes de su vida. -> The different styles of the painter coincided with the changing circumstances in his life.
- Los salarios de los trabajadores deben corresponder a las circunstancias en las que laboran. -> The wages of the workers must be in conformity with their working conditions.
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