Is there any way to make crepes without a proper non-stick pan?
Crepes were made long before teflon was invented.

I use a quality steel pan and non stick spray. I reapply the spray every 3rd or 4th crepe to avoid sticking.

Everything else is temperature control. If your temps are too high then the crepes will toast and burn before they set on top. If the temp is too low then they are more prone to sticking. It takes some trial and error and the first few are usually wrong- I eat those. 

The temperature is always very low though- between low and medium-low on my stove.