Nope - the shafts are different.
In a C-clip axle, the shafts are retained by the c-clips (which are held in place by the axle shaft reatined by the crosspin, and the pickets in the side gears

and the bearings ride directly upon the shaft. The shaft is free to slide through the bearing after the c-clip is removed.
In a non-C-clip axle, the bearings are pressed onto the shaft (it's about a .003-.004" press fit) and there is a retainer plate that holds the bearing in place - as well as the seal. The fit is such that it's usually easier to cut the bearing off than to press it off, and it's so damn tight that it really WILL stay put as long as the plate is in place and bolted down.
The C-clip axle has to have the c-clips to stay put, and the non-C has to have the retainer plates. Besides, I think the bearing surface OD is different between the two, so you can't swap the shafts on the bearings.
By the time you get done converting a C-clip to non-C, you've changed the side gears, shafts, and axle tube ends, as well as the brake assembly (since the backing plate isn't welded on the non-C like it is on the C-clip.)
It's probably easier to just replace the whole assembly, and sell the C-clip for scrap (since that's all they're really fit for, anyhow.)
HTH, YMMV
5-90