I don't have admin rights on my computer, so whenever I try to install the Brick Hill client, I get a user account control prompt and can't install the app. Is there any way to bypass this User Account Control prompt?

go on an admin account for ur computer

yes in fact here: https://articulate.com/support/article/how-to-turn-user-account-control-on-or-off-in-windows-10

Apply yes