It looks like a Jinma, but the pics are not all that great.
This has been a fairly common question here over the years...
Clutch should have nothing to do with the 4X4 engagement. The 4X4 engagement occurs down in the gearbox and you are coupling the front axle/differential to the rear differential/gearbox. The clutch is only controlling the application of engine torque to the drive and PTO gearboxes. You don't need to push in the clutch, just apply pressure to the lever, with only one requirement. Localmotion's question alluded to it. Are you rolling when trying to engage 4X4?
If it is a rebadged Jinma, YOU MUST BE ROLLING, or if stuck, the rear axle must be rotating(wheel spinning) in order for the engagement mechanism to line up. IF it does it setting stationary, it is just a fluke that the parts happen to be lined up correctly. On my jinma imagine 2 round parts divided into 6 pie shaped pieces with every other pie slice removed. These 2 parts(called "pawls" in the exploded parts diagram) are installed so the 3 triangular teeth on each part face each other. When you push the lever toward the 4X4 position, you push one of these parts against the other. One is coupled to the front and the other is coupled to the rear. But since they are flat faced, one or both must be rotating for the 3 triangular teeth to come into alignment and the 2 parts to mesh together coupling you into 4X4. Because of the differences in gear ratios, tire size, rate of turn ect, between front and rear axles these two parts rotate at slightly different speeds when uncoupled. This is also why 4X4 does more soil/turf damage when engaged and why you don't run 4X4 on hard ground/asphault/concrete as it can damage the drivetrain if the wheels cannot slip on soft soil to absorbe the overall difference in drive ratios between front and rear axle.
So while driving along(or stuck and wheel slipping/spinning), just pull the lever toward the 4X4 position and it should eventually align and the lever will slide right in, no clutch necessary. Mine takes very little pressure to do this(2 finger tips pulling lightly on the lever), and usually engages within a second or two of pulling on the lever.
This is by the way the same as on any manual transmission 4X4 truck I have ever owned(all toyotas), if the hubs are dialed in, just pull the 4X4 lever from 2hi to 4hi whenever you want 4X4... Since there are more teeth in the toyota transfer, engagement is almost without delay.
Hope this helps...