Q: If data is erased from a file can it be recovered?

The file itself is data, so not clear what you mean when you say "data is erase from a file." 

If you mistakenly deleted a file, and no new data is written over the location of the file on the drive, you may be able to recover it.  You'll need a data recovery utility, for example

https://www.prosofteng.com/datarescue-mac-data-recovery/

If you use the built-in Time Machine feature to backup and archive your user data to an external drive, you can get your deleted file back or even an older version of the file.

Please clarify details about your Apple equipment (example from your current equipment line: "Mac Pro, iOS 9" -- a Mac Pro cannot run iOS). That will help us get you moved to a viable forum. This forum area is for Apple hardware made before 1998 and gets almost no views. Also one normally erases a file from the computer, not data from a file so that is confusing. However, please give more informationand details about what you are trying to do so we can understand and help.

Please see these points from Apple's article, "How to Write a Good Question":

• Include your product name and specs such as processor speed, memory, and storage capacity. Please do not include your Serial Number, IMEI, MEID, or other personal information.
• Provide the version numbers of your operating system and relevant applications, for example "iOS 6.0.3" or "iPhoto 9.1.2".
• Describe the problem, and include any details about what seems to cause it.
• List any troubleshooting steps you've already tried, or temporary fixes you've discovered.