Can I install Xcode on my Mac with macOS 10.13?

XCode 10.1 is apparently the last version that will run on High Sierra.

https://download.developer.apple.com/Developer_Tools/Xcode_10.1/Xcode_10.1.xip

https://download.developer.apple.com/Developer_Tools/Additional_Tools_for_Xcode_10.1/Additional_Tools_for_Xcode_10.1.dmg

https://download.developer.apple.com/Developer_Tools/Command_Line_Tools_macOS_10.13_for_Xcode_10.1/Command_Line_Tools_macOS_10.13_for_Xcode_10.1.dmg

According to this Discussions thread, that version of XCode cannot build apps for the App Store.

Get Xcode 9 for macOS High Sierra … | Apple Developer Forums

App Submissions to Apple App Stores must use Xcode 14.1 and/or the iOS 16.1 SDK… and be running macOS 13.0 or later which would require you to own one of these Macs that supports Ventura 13.

App Store submission requirement starts April 25 - Latest News - Apple Developer

i want to install xcode through your link but apple webite shows your accout cant access this page

XCode requires a Mac running macOS 13 or later. You most likely need a new Mac.

A side note: The App Store listed my iMac as "Works on this iMac" under Compatibility, despite the fact it's running Monterey. It won't install though.

I could reproduce that on my Monterey 12.6.7 installation too. Not the first time compatibility has been out of sync with Xcode version. I have 14.2 installed on Monterey… d'oh.