Has my iPhone been hacked?

Yesterday I fell for a phishing scam and downloaded a vpn from the App Store after be prompted by a pop up that I realized was suspicious only after the fact. I realized my mistake pretty quickly. I didn’t create an account, start the free trial, or actually use the vpn at all. I deleted the app within minutes and installed a legitimate vpn (AdGuard), but now I’m paranoid because I’ve heard that fake vpns can steal all your info. Nothing on my phone looks suspicious but I cleared my browsing history just in case. Am I safe since I didn’t actually use the fake vpn? Or was downloading the app enough?