possible bent shifting fork in the transfer case, possible electical issues. I'd suggest taking it to a reputable shop to have it checked out.
check the 4 whell high actuator
First check fuses then check a diaghram under the battery. Remove the tray and check the diaghram, It may have a rip in it. If that were the case, it would not shift to 4WD. The rubber gets brittle.
You could remove the transfer case, front driveshaft, front diff and front axleshafts. Then you'll most likely have to swap the transmission for a 2 wheel drive version and find a 2 wheel drive rear driveshaft. You would basically need a 2 wheel drive Blazer with all its running gear in good shape so you could swap all the parts over. If you're not emotionally attached to your current 4wd Blazer, I recommend just selling it and finding a fitting 2wd replacement rig.
transmission is in but cant get linkage right. photo would help
This is caused most likely by the transmission is going bad. Need to repair asap
It's almost always warped rotors.
First thing I would do is to trie puting it into drive or reverse to maybe it will kick in. If that doesnt work. You might have a bad 4 wheel drive selecter. Its a little black box on the side of the transfer case.
True 4 wheel drive has a dedicated low range gear. There are stick shift cars with full time all wheel drive that apply power to all 4 wheels all the time, just like a 4 wheel drive; however, they do not have the dedicated low range gear found on off road 4 wheel drive vehicles and are therefore less capable under those conditions. The average road driver though would not notice a performance difference between the two. The subaru impreza and subaru legacy are cars that have a stick shift and full time all wheel drive. No doubt there are others.
The best way would be to replace the damaged panel.
the drive motor under the blazer by the transfer case or check the brain box under the dash next to the glove compartment approx 250.00 for both items.
we are trying to find regular factory wheels that fit the lug pattern off of a 1997 Chevy blazer s-10 2 wheel drive
the transfer case motor has to be replaced