No you cannot. TPS will just protect you in case your visa is about to/has expire/d. Also, you need to apply for TPS. Just because USCIS approved Nepali's TPS does not mean every non-immigrant visa holding Nepali in the US will by default it. You will need to apply, get it approved for you, and then keep on renewing.

So, TPS has no connection with getting you green card. But TPS will allow you to get work authorization.