Sage Advice : Backgrounds
Can you have more than one background?
No. You can have only one background. It establishes key aspects of your life before you embarked on a life of adventure. If none of the backgrounds available matches your character concept, talk with your DM and use the guidelines on page 125 of the Player’s Handbook to customize your own background.
Written by Jeremy Crawford (Sage Advice Compendium v2.2)