Do you know any possibility to produce an enormous amount of dirt without digging?
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You mean without having to build at a minimum a Steam Macerator, a steam source for it, and feed it plant material from a tree farm of some description, f.ex a golem tree or crop farm, to create bio-chaff that then gets macerated into dirt?
If you don't mind getting into Thaumcraft you could get yourself a Wand and craft yourself an Excavation focus, but you did specify without digging, so I don't know if that's an option for you.
You'll find that dirt options are extremely limited in this modpack when it comes to getting lots of it, unless you want to build a quarry or progress into high-tier GregTech items which you'll want to do anyway if you want a properly automatable solution to your problem.
You can of course use Logistics Pipes on steam era machinery to automatically feed it a source of plant matter from whatever harvesting method you go with. How fast that is will depend on the amount of time and effort you're willing to put into setting it all up.
The Thaumcraft Lamp of Growth will significantly boost your production here.
Just some random thoughts I have here, hope some of them help you!
Cheers ...
BrickVoid