That should work. I have seen some use a pop rivet gun - very strong and you wont go too deep or have them back out on you. But in your case it would be for some sort of support that you can screw or bolt your cabinet to. So pop on some anchors of some sort then attach that to your cabinet? Just an idea.
2017 Axis / 25.4: Big Foot Levelers, Aims 1200 Watt inverter, Ceramic Window Tint, Full River AGM 6V batteries, Front Hellwig Sway bar / Rear Track Arm, Safe T Plus Steering Stabilizer, PD 4655 converter, Hard Wired Surge Guard, WEboost + WiFi Ranger, LED Headlights/Driving lights, TPMS, Surge tank, Tornado flush, Viair Compressor