Is it possible that my chopper transformer,having 2 adjacent windings,zero resistance between its pins?

 

Have no idea what "chopper transformer" you are talking about.
Are you riding a Harley?

 

Certainly it is possible to have ZERO resistance. Short circuits are often possible, even when no problem is visible.

 

A little more explicit description,
A short and and open circuit can both be described as zero resistance!

 

Some low voltage power transformers have windings with miliohms resistance.
Unless you are using a Kelvin-probe miliohmeter, on a regular DMM the reading will appear to be zero.

 

Really, with quite a few of the "less expensive" multimeters, a few ohms of resistance will show as "zero." Consider that the resolution of any measurement depend, to an extent on the resolution capability of the measurment tool. Likewise, the accuracy of that tool.

Back in college we had a professor who was able to prove with certainty and statistical analysis, that the world is flat! All it took was 100 checks done with a 12 inch straight-edge to show that every sample was "flat."

With that "inexpensive" multimeter having a resistance scale from 'zero" to 20,000 ohms, a resistance of ten ohms reads the same as an actual shorted circuit.