If you define “zionist” in the way that the Israeli ruling class does, namely as one in favor in establishing a secular state in Eretz Yisrael in which Jews can fully participate without having to deny their Jewishness, and without have to observe Torah and Mitzvos – no Orthodox Jews can be a zionist.
The Dati Leumi has a different definition, but they don’t run Eretz Yisrael. No Dati Leumi has ever been even a serious candidate for a leadership position in the government. They appear to be “suckers” who serve a secular elite that behind their backs regards them as fools.