Yes, there is.
Crab paste is a collection of semen and organs from the spermatophore of male crabs. In its natural state, crab paste is a greenish-white, semi-transparent jelly-like liquid; after steaming, it is a semi-transparent, sticky, and a bit greasy gelatin.
Crab yolk does contain egg cells that have not been expelled from the body. But there are other organs of the crab. For example, glands, tissue fluid and other substances, not just crab eggs. It is the eggs that the crab produces and expels from the body that are the real crab eggs.
Expanded:
In the wild, the female crab's yolk grows most plump by the ninth month of the lunar calendar. In October, the crab paste (crab oil) of male crabs grows thickest. That's why there is the saying "nine females and ten males". This means that female crabs are eaten in the ninth month of the lunar calendar and male crabs are eaten in the tenth month of the lunar calendar. This is also the reason why the crabs in the fall are the most delicious.
Turning a crab over, with its belly facing the sky, and turning it back quickly with its stinging foot, indicates that the crab is energetic and can be used as a food source. It means the crab is vigorous and can be kept for a long time. It means the crab is fresh. After all, crabs are more expensive, you must choose fresh and delicious crabs to eat happy!