Single range, single converter, no -- there's nothing to keep the controller running. There's usually an aux winding to power it. At best, you'd be looking at maybe 8V minimum to 30V maximum, or any ratio of that range.
The actual output range will be narrower than this (maybe 10-25V, or 12-20V), depending on load current, because of leakage between secondary and aux.
With a separate aux converter (maybe just tossing in a cheap Meanwell or CUI PS?), you can keep the controller running, and probably go all the way to zero. Be careful that it doesn't go into crummy operating modes: for example, a peak current mode controller like UC3842 will go into chaos (resulting in high output ripple and noise) at low output voltages and high currents.
An average current mode forward converter is probably a cleaner bet, as it won't mind varying the output voltage, even at full load current, and prefers to operate in CCM where ripple is lower.
Resonant controllers can be used, as long as the basic operation is clean over that voltage range.
Beware of easy traps: at low output voltage, high current is difficult because the freewheeling diodes carry basically full load current, and the on-time is a very short pulse. Make sure the switching transistors are able to do their job in this time. This is noteworthy because I've seen it done badly:
If you look inside any one of those no-name Chinese bench SMPS, you'll see a big heatsink with a couple of preposterously oversized IGBTs under it. The one I saw used IRG4PC50UD or something like that -- 600V 50A, way too old and big for the purpose (only 10-20A was needed), and severely, gravely underdriven (at best, 200mA peak gate drive -- for >200nC gates!). When loaded to rated amperage, at below 10% rated output voltage (namely, 10A at less than 10V, for a 100V supply), the transistors cooked off and exploded. Further investigation showed transition times of about 1 microsecond, out of a 50kHz switching frequency. At low duty cycles (under 5%), it's literally a linear amplifier, never even achieving Vce(sat) during each pulse. Shitty design, exactly what you should expect from a $300 piece of junk!
Tim