Arduino Nano joystick x2 / potentiometer will i be able to connect up all these parts to an arduino Nano 
i noticed i will need to connect to the nanos v5 to the 2 joysticks and potentiometer slider if i share the voltage will it still function as intended 

Parts

x1 = USB Arduino Nano V3.0 ATMEGA328P CH340G 5V 16M Micro-Controller Arduino 

x2 = 3D Analog Joystick for Sony PSP 1000 Consol 
+5v (possible 10kOhm resistance)

x1 = Electronic slider 10K potentiometer Slider Module for Arduino
Voltage: 3.3V or 5V / Resistance: 10K
Yes, this should work. The potentiometer slider will source about 5mA and each joystick axis about 50mA. In total this gives you 205mA. Here it is important, that your power source can provide enough current. If you are using an USB port from your computer, this would result in 500mA maximum that can be drawn from the bus. Since this is shared with the Arduino you can externally use about 400mA

For more information about current ratings refer to this question

EDIT: Since your previous resistance values were not correct, I edit my answer.

When all potentiometers have 10kOhm resistance (and this seems to be more likely the right values), each one draws about 5mA from the 5V pin (You can calculate this with Ohm's Law U = R * I, which gives you I = U / R. So you have to divide the voltage by the resistance.). So you aren't getting anywhere near the problematic currents. These potentiometers are designed this way. They don't want to draw a high amount of power, but only setting a certain voltage to the output pin.