Is an esim safe if your information has been breeched

Transferring your service from a physical SIM card to an eSIM on the same iPhone 13 Pro is generally safe and a supported feature. This process is typically straightforward and is done through your mobile carrier's app or by contacting their customer support. Your phone number and service plan should remain the same during the transition.

However, if you are concerned about the security of your iCloud email account or any other sensitive data, it's essential to take some precautions:

1. Before making any significant changes to your device, it's a good practice to back up your data, including contacts, photos, and important documents. You can use iCloud or iTunes/Finder to create a backup. How to back up your iPhone or iPad with iCloud - Apple Support
2. Ensure that your iCloud email account is protected with a strong, unique password. Use a combination of letters, numbers, and symbols. You can also enable two-factor authentication (2FA) for an extra layer of security. Manage two-factor authentication for your Apple ID from ...
3. Regularly review your iCloud account activity for any unusual or unauthorized logins or actions.
4. Keep your iPhone 13 Pro updated with the latest software and security patches. Set a strong passcode or use Face ID/Touch ID for device access.
   1. Update Over-the-Air (OTA) —> Update your iPhone or iPad - Apple Support (IN)
   2. Update using iTunes/Finder —> Update your iPhone, iPad, or iPod touch - Apple Support (IN)
5. Be cautious of phishing attempts or scams that may try to trick you into providing sensitive information or access to your iCloud account. Beware of Phishing
6. If you feel an unauthorized person/app is remotely using, controlling or monitoring your device, then that is possible only if you have done one or more of the following Don'ts...
   1. Don't hand over an iPhone to kids or to a stranger without Enabling Guided Access
   2. Don't share Apple IDs
   3. Don't Jailbreak
   4. Don't share sensitive information pertaining to your device
   5. Don't give in to Phishing
   6. Don't plug in your device in Airports and Public places through third-party cables and trust the device. Beware of Juice Jacking. (Especially in India)
   7. Don't leave your iPhone unlocked and unattended in public places like offices, schools, malls, etc.
7. If one of the above is true then quickly change the Apple ID Password and Return iPhone settings to their defaults.

Overall, transferring to an eSIM on your iPhone 13 Pro should not inherently pose a security risk to your iCloud email account or other data, but it's essential to follow best practices for account security to minimize any potential risks.

I am not clear what you mean by "breach". Did you report it to your Cellular Service Provider (Carrier) and/or the local law enforcement authorities?