I am currently in valid F1 status but I has applied for TPS and EAD which is still pending? Can I travel to Nepal ?

You can travel on Advance Parole only if you are to keep the TPS. Upon return, you will be paroled for TPS. You will not be able to also keep the F1 or you can enter on the F1 but will lose the TPS. I say, keep the TPS since it is a valid nonimmigrant status and can be always changed back to F1 if and when you need it.  TPS Overview