"Whom" is correct. FWIW, I would have said it as a teenager -- I'm actually more flexible
now.
But it depends on your teenager.
To see why, think about rearranging and using a different pronoun:
"I know I can trust him."
"I know I can trust her."
p.s. -- Speaking personally, I love me my object pronouns, and they will pry "whom" out of my cold, dead . . .