Pilot reported an off airport landing after fuel feed issues caused an engine failure.

Narrative

I filled up a VFR flight plan from ZZZ1 to ZZZ for Aircraft X. ETE was approximately 3 hours and altitude requested 7;500 ft. I had the airplane fueled with 378 gallons of fuel (150 gallons in the hopper and 228 gallons in the wings; around 6 hours and 20 minutes of endurance). I performed the pre flight inspection according with the AFM. At XA52 I started the engine and proceeded to taxi. At XB02 after complying with the procedures on the check lists I took off. I climbed to 7;500 ft. and flew course 150 degrees. After around 40 minutes I switched the fuel valve to the hopper in order to check the ferry fuel system. When the wings seemed to be full again (after around another 35-40 minutes) I switched back the fuel valve and repeated the procedure one more time. At XC50 I descend to 3;500 ft. to avoid a MOA and also to maintain VFR. I intended to maintain 5;500 ft.; but the clouds were getting lower; so I kept descending and was able to maintain between 2;500 ft. and 2;000 ft. Since I was only 22 minutes from my destination and that airport ZZZ has a Class C airspace starting at 2;500 feet I decided to maintain 2;000 ft. After around 15 minutes using the fuel hopper for the second time; I was south of ZZZ2 I noticed a sudden drop on the NG parameter and the aircraft immediately started decreasing the speed and losing altitude. I switched the tank valve to the wings but realized I didn't have enough altitude to attempt an engine relight. I was in contact with ZZZ Approach and [requested priority handling]. I was aware of the runway on my left side but since my speed and altitude were decreasing fast I decided I could not safely make a sharp 180 degree turn to reach the airport. I informed the ATC I was going to land on a field right in front of me. I proceeded to the land on the sugar cane field. The aircraft stopped shortly after touching the crop. I smelled fuel so turned the main fuel valve OFF and decided to take some distance to be safe in case of fire.Meanwhile I contacted Company to inform the situation and after around 10-15 minutes I judged it was safe to return to the aircraft and gather my personal belongings. Minutes later I was able to hear the sirens; so I walked through the sugar crop until I found the rescue team. I was taken to the hospital and was released after they confirmed I suffered no internal/external injuries.