I want to know if https://parttimework.online/m/index this website is some how related or working with Shopify..or it is a fake website
This looks fake to me.
I am going to go out on a limb here and say fake. 
Hello @Tanmayd
The site URL that you provided seems to be fake. We have gone through the site and found that there are no SSL installed in it. Also, the backend programming is a basic ones which does not have database or the proper syntax. Here is the screenshot.
The major risk about it is that it involves transaction options which should be banned as soon as possible.