No.

A Vegetarian meal is very easily defined.

Does not knowingly contain animal corpse (the odd insect/spider bits get into every meal but that's accidental).

A Vegan meal does not knowingly contain any animal product at all.

A Fructarian meal does not knowingly contain any animal, fungal or vegetable corpse (just fruit, nuts and seeds).

What you are describing up there is Pescetarianism (they eat fish and vegetables only).

If someone claims to be a Vegetarian and eats fish they are LAIRS!!!!