Yes, with a cascade set to PERSIST
on the OneToMany association.
Note that you shouldn't have aId in the B entity. Either make the association bidirectional, and have a field of type TableA, or leave it unidirectional and don't have any field in B mapped to a_id.
EDIT: AFAIR, you need to tell Hibernate that the column is not null, else it tries to insert everything first, and then populate the foreign keys:
@OneToMany (cascade = CascadeType.PERSIST)
@JoinColumn(name="a_id", nullable=false)
private List<Table_B> bList;