Hi itsonlyme, 

Thank you so much for your question. Unfortunately, no. Adding modules to PostgreSQL on a shared account would be a server-wide change. You'll need to upgrade to a VPS or Dedi if you want to add pg_trgm. Let us know if you have additional questions. However, if you have account-specific questions, please reach out to our 24/7 live support. As this is a public forum, we cannot discuss you're specific account here. I hope this helps. 

Kindest regards,