u mean that i can directly control the stepper motor by using driver uln 2003 with GPIO pins.then can i contruct the uln 2003 and stepper motor circuit which shown below to operate the motor?
The LS244 is not necessary, as it's output is the same as it's input and the GPIO should already have enough drive capability to operate a ULN2003, it would serve no purpose.
All you need to do is switch the four drive signals on and off in the correct order and the motor will turn. Remember that the ULN2003 inverts the signal ! A high on the input turns the output transistor on making its output low.
You might be interested in this web page: http://www.atv-projects.com/PCB_Agitator.html which does something similar but uses discrete transistors in place of the ULN2003. The principle of operation and the example software are still applicable.