My son just got diagnosed 3 months ago and is on Lantus. But I have a question can your hair fall?

From it he's loosing a lot of Hair sense he was diagnosed he was on homolog and Lantus now he only on Lantus. and Now I'm worried hair loss does run in my family But Not like this Its was to much and doctor said she don't now why. and now he getting embraced to be around girls. So its not like he had enough as a kid already now this.