This is not a good pattern for generating hashes for an object.
It's important to undunderstand the purpose of GetHashCode() - it's a way to generate a numeric representation of the identifying properties of an object. Hash codes are used to allow an object to serve as a key in a dictionary and in some cases accelerate comparisons between complex types.
If you simply generate a random value and call it a hash code, you have no repeatability. Another instance with the same key fields will have a different hash code, and will violate the behavior expected by classes like HashSet, Dictionary, etc.
If you already have an identifying string member in you object, just return its hash code.
The documentation on MSDN for implementers of GetHashCode() is a must read for anyone that plans on overriding that method:
Notes to Implementers
A hash function is used to quickly generate a number (hash code) that corresponds to the value of an object. Hash functions are usually specific to each Type and, for uniqueness, must use at least one of the instance fields as input.
A hash function must have the following properties:
If two objects compare as equal, the GetHashCode method for each object must return the same value. However, if two objects do not compare as equal, the GetHashCode methods for the two object do not have to return different values.
The GetHashCode method for an object must consistently return the same hash code as long as there is no modification to the object state that determines the return value of the object's Equals method. Note that this is true only for the current execution of an application, and that a different hash code can be returned if the application is run again.
For the best performance, a hash function must generate a random distribution for all input.
For example, the implementation of the GetHashCode method provided by the String class returns identical hash codes for identical string values. Therefore, two String objects return the same hash code if they represent the same string value. Also, the method uses all the characters in the string to generate reasonably randomly distributed output, even when the input is clustered in certain ranges (for example, many users might have strings that contain only the lower 128 ASCII characters, even though a string can contain any of the 65,535 Unicode characters).