Can you save a unit targeted by Singularity by moving it to a different board zone?

Ruling: No. Singularity does not specify a location restriction (such as "a unit at a battlefield"), so it will track the targeted unit even if it moves to a base. The spell will still deal 6 damage to the unit upon resolution. Movement only breaks targeting if the unit moves to a non-board zone (such as being recalled to hand or destroyed).

Nuances:

• Janna, Savior cannot save your own units from Singularity because she moves enemy units, not your own units.
• Janna's healing ability resolves before Singularity's damage, but if 6 damage is still lethal after healing, the unit will die.
• Whether movement saves a unit from a spell depends on whether the spell specifies a location in its targeting text.