maryoamericale, if you find a sponsor for your H1B, I don't see why you can't. But if your H1B gets picked up you might have to go to Nepal and get stamping so that your status changes from TPS-EAD to H1B-EAD.

You can be reinstated to F-1 after the TPS-EAD by virtue of "8 CRF 214.2", which states that

(1) The violation of status resulted from circumstances beyond the student's control. Such circumstances might include serious injury or illness, closure of the institution, a natural disaster, or inadvertence, oversight, or neglect on the part of the DSO, but do not include instances where a pattern of repeated violations or where a willful failure on the part of the student resulted in the need for reinstatement; or