Is it possible to run function in a subprocess without threading or writing a separate file/script.

I think you're looking for something more like the multiprocessing module:

http://docs.python.org/library/multiprocessing.html#the-process-class

The subprocess module is for spawning processes and doing things with their input/output - not for running functions.

Here is a multiprocessing version of your code:

from multiprocessing import Process, Queue

# must be a global function    
def my_function(q, x):
    q.put(x + 100)

if __name__ == '__main__':
    queue = Queue()
    p = Process(target=my_function, args=(queue, 1))
    p.start()
    p.join() # this blocks until the process terminates
    result = queue.get()
    print result

You can use the standard Unix fork system call, as os.fork(). fork() will create a new process, with the same script running. In the new process, it will return 0, while in the old process it will return the process ID of the new process.

child_pid = os.fork()
if child_pid == 0:
  print "New proc"
else:
  print "Old proc"

For a higher level library, that provides multiprocessing support that provides a portable abstraction for using multiple processes, there's the multiprocessing module. There's an article on IBM DeveloperWorks, Multiprocessing with Python, with a brief introduction to both techniques.

Brian McKenna's above post about multiprocessing is really helpful, but if you wanted to go down the threaded route (opposed to process-based), this example will get you started:

import threading
import time

def blocker():
    while True:
        print "Oh, sorry, am I in the way?"
        time.sleep(1)

t = threading.Thread(name='child procs', target=blocker)
t.start()

# Prove that we passed through the blocking call
print "No, that's okay" 

You can also use the setDaemon(True) feature to background the thread immediately.