Yes one can go to a Higher Secondary school from a High School. Certain things are to matched, such as Subject (Pass or H/PG), Category (SC,ST,OBC,PH etc), Medium of Instruction (Bengali, English, Nepali, Urdu, Hindi etc), Gender (Co-Ed, Girls School) etc. The Provisional Vacancy List for General Transfer has been now published and there Post Status (Normal Section or HS section) is not mentioned. That means there is no bar for an incumbent to go to a HS School from a High School, if the above are matched. Thanks.