Can D.Va hide behind teammates to protect herself from her own Self Destruct ultimate?

Long overdue update to this answer: D.Va can no longer self-damage with her ult, so this question/answer is moot.

Previous answer:

D.Va can't use allied hitboxes or allied barriers to block self-damage from her ultimate. She can, however, use an enemy barrier (Winston's or Reinhardt's, but not Zarya's as it is targeted) to block self-damage.

As of today's patch, the player who casts Self-Destruct is now immune to their own explosion:

Self-Destruct

• Ultimate cost decreased by 15%
• Explosion delay reduced from 4 seconds to 3 seconds
• Explosion no longer damages D.Va (the player who activates it)