Generally speaking, anything that will develop one silver-based B&W material will develop another. The bad news is, in terms of cost and capacity, most film developers don't measure up for prints; their fine grain properties are effectively wasted (since print grain doesn't later get magnified), meaning that in many cases large amounts of sulfite are included that aren't needed; they're relatively slow compared to print developers; they're relative expensive in terms of their capacity (even economical film developers like HC-110 and Rodinal must be used in very high concentration to provide reasonable print development times, and still have low capacity relative to old standbys like Dektol or Ansco 130).
If you want to save time mixing, get the largest size of Dektol, mix it all and decant into bottles sized to fill a single tray after dilution (if your trays hold 2 liters, you'll want about 650 ml bottles for 1:2). You'll get about eight bottles from a five gallon Dektol package, which takes no longer to mix than the one gallon size, and you do the measuring of stock solution all at once, at the same time as mixing. If you get bottles that have very little airspace, the stock solution will keep very well, and you can mix without further measuring by simply filling the bottle twice with water after pouring the stock solution into the tray.
Premixing fixer can also save time, and the fixer working solution will keep for several months in a reasonably airtight bottle.
With this kind of premeasured setup, and all chemicals and mixing water stored at room temperature (say, in the darkroom), you could be printing within ten minutes of going into the darkroom. If you have a cold light, don't forget to flip on the enlarger lamp before you start filling trays, so the tube can warm up; that'll save you another ten or fifteen minutes.
You can save still more time by using a slot processor, in which the chemicals can be left until exhausted (and using a long-life developer like Ansco 130 helps on this); with a hot light in the enlarger, you could walk into the darkroom, flip from white light to safelight, open the paper safe and start a print, and be able to use time segments as short as fifteen minutes to good end (as long as you can come back a bit later and pull the prints out of the washer, that is).