In the database schema, yes (if Child.NAMEOFCHILD
has a unique index). In entity framework, no. EF doesn't support associations to unique indexes (yet). But this is just on the technical level. Whether it's meaningful is another question.
Also, beware of painting yourself in a corner. When both foreign keys are not nullable you'd never be able to insert data, because you can't insert two records at a time and sequential inserts always cause foreign key violations. You would be able to design the database schema but never get any data in.