Yes it is very possible to put a LS1 in a Chevy Luv. I am currently running a LS1 in my truck, I used the basic Hooker header V8 frame mounts and paired them with a set of Trans-Dapts LS1 swap mounts. What the Trans Dapt mounts basically do is convert the engine mount from the LS1 style four bolt pattern to the old SBC 3 bolt pattern moving them to the positioning to basically the same position as a Gen 1 SBC. The transmission tunnel will require some additional clearance compared to a basic Gen 1 V8 swap. I am not using AC so not sure what the clearance would be with that. Also using coilover shocks instead of the stock torsion bars so you may run into exhaust issues but shouldn't be to difficult to resolve. I believe Wicked Mayhem started going this direction with his build originally before completely redesigning his trucks chassi.
Heres some images of the engine mounts

