No. In the MT, an 'essence twin' has a specific location in the cadre. Many people never meet their essence twin in the flesh; many of the ones who do wish they hadn't because the relationship is simply too intense.
The notion of "twin soul" comes from other teachings, and seems to refer to essences that have other kinds of relationship. There are a fair number of other relationships in the MT, including task companions, traveling companions, entity mates and cadence mates. Most of these will cause enough of a resonance that other teachings would call them "twin souls."
This probably needs more work to flesh it out.
John Roth