It's easy to put a default route inside a routing-instance:
set routing-instance InstanceA routing-options static route x.x.x.x/x next-hop y.y.y.y
However, if the next-hop points to an interface which is not bound to the InstanceA routing-instance you the route is not going to become active.
This is typically why you would configure a rib-group and configure your interface-routes to be mirrored in the routing-instance and inet.0. Or if the interface is bound to inet.0 then you could simply create a default route inside the InstanceA routing-instance and point it to a next-table of inet.0.
Can you give us more specifics to what you are trying to accomplish?