The description of the illusionist's bracers (GGR, page 178) says:
While wearing the bracers, whenever you cast a cantrip, you can use a bonus action on the same turn to cast that cantrip a second time.
The sorcerer's Twinned Spell metamagic option (PHB, page 102) says:
When you cast a spell that targets only one creature and doesn’t have a range of self, you can spend a number of sorcery points equal to the spell’s level to target a second creature in range with the same spell (1 sorcery point if the spell is a cantrip).
Can I use Twinned Spell when I cast booming blade (SCAG, page 142) as an action, and using the illusionist's bracers, twin-cast booming blade again as a bonus action (thus attacking 4 targets or the same 2 twice each)?