Yes.
The easiest way to do this is in the VI setup of the sub-VI.
From the File menu on the sub-VI, goto VI Properties >> Category >> Window Appearance >> Customize, then select Show Front Panel When Called and Close Afterwards If Originally Closed.
If you don't want to do this for all instances of the sub-VI, then setup the sub-VI node in the calling VI. On the diagram of the calling VI, right-click on the sub-VI and select SubVI Node Setup, then select Show Front Panel When Called and Close Afterwards If Originally Closed.