According to the android developer docs, the last modified time should be available. See
here which states that the time will be returned measured in milliseconds since the 1st January 1970.
I've also checked using ES File Explorer and that is able to display the modified time.
Maybe you need to use a Java Object or the Reflection library to access it? But before doing that have you tried using...
DateTime.Time(File.LastModified(File.DirRootExternal, "yourFile.txt"))
Kind regards,
RandomCoder