Yes, an opera can sing in orchestra if there is a choir or soloist singing with the orchestra. Keep in mind that orchestra is mainly an ensemble of musicians playing different instruments. Singers are usually not part of orchestra but choirs and soloist may join orchestra to sing part of a piece. This setting is referred to as "orchestra and chorus" or "orchestra and soloist" as the case may be.
In conclusion, a singer in opera can sing in orchestra as a soloist or as a member of a choir to perform with the musicians.