Is it possible to transfer between terminals at Tel Aviv Ben Gurion airport without leaving air side?

This is a question for people who know Tel Aviv Ben Gurion airport well (TLV).

In a couple of months, I am flying into Tel Aviv Ben Gurion airport from Johannesburg on ELAL, arriving 7.10am at Terminal 3 (according to Google).

I then need to fly to Bucharest that same day. The flight I’d like to take leaves at 9.55am, Wizz Air, from Terminal 1.

I intend to travel with hand luggage only.

My question is: will I be able to do a transfer to catch the Wizz Air flight without having to leave the airport and come back in?

I need to know this because if I have to leave the airport and come back in, I risk missing my Wizz Air flight because of the length of time that security can take at TLV. Opinions on the feasibility if I do leave and re-enter, given my time constraints, are welcome.