I'm think of turning a old MTB steel frame/fork into a cyclocross set-up. It has 1 inch steerer. Is it doable ?
Anything is doable if you throw enough money at it!
I imagine that you're considering this because the budget is tight.
You can do it but it could easily cost more than it is worth.
I take it you have 26" wheels and a suspension fork? Disc brakes?
The first problem is replacing the fork; you have to get one long enough that it is close to the mid-travel length of your current or you may change the geometry more than you like.
It may be hard to find a rigid fork with 1" steerer and the length you need.
One idea is that Nashbar has a carbon Cross fork in 1" but you'll have to check the length and it will only work with a disc brake; the canti mounts won't line up with a 26" wheel.
Then you'll need a stem and handlebars. Make sure that your stem matches the bars: mountain and road are different.
How many gears do you have? It is likely that MicroShift makes shift/brake levers that will work with your derailleurs.
Would you need to change the gearing? You'll probably have to replace the crankset and then you'll likely need a matching FD.
Buy the time you buy the fork, stem, bars, shifters, crankset, FD, tires and bits and pieces you'll likely have spent more than the bike is worth.
But if you still want to do it tell us more about the bike as it is now.