Proof of concept blender addon for controlling the viewport with a gamepad (evdev python module needed, only tested under linux)

gamepad-control.py

bl_info = {
    "name" : "Gamepad Control",
    "author" : "Mokocchi",
    "description" : "Control the blender viewport using a gamepad - based on István Donkó PoC",
    "blender" : (3, 4, 1),
    "category" : "Generic"
}


import evdev
import bpy
from mathutils import *

def get_device():
    device_list = evdev.list_devices()
    if (len(device_list) > 0):
        return evdev.InputDevice(device_list[0])
    else:
        print("No device found")
        exit(1)

def view3d():
    return bpy.data.screens['Layout'].areas[3].spaces[0].region_3d

class GamepadControl:
    main_device = None
    
    def __init__(self, device):
        self.data = []
        self.device = device
        self.speed = 0.05
        GamepadControl.main_device = self
    
    def create_main_device(device):
        main_device = GamepadControl(device)
        
    def get_main_device():
        return GamepadControl.main_device

    def speed(self, speed):
        self.speed = speed
        
    def get_axis_value(self, i):
            return (self.device.absinfo(i).value - 128) / 128

    def check_gamepad(self):
        [a, b, c, d] = map(self.get_axis_value, [0, 1, 2, 5])
        speed = self.speed
        view3d().view_rotation.rotate(Euler((c*speed,b*speed,a*speed)))
        view3d().view_distance += d

def main_loop():
    GamepadControl.get_main_device().check_gamepad()
    return (1 / 30)

def register():
    device = get_device()
    print("gamepad control enabled")
    if device:
        GamepadControl.create_main_device(device)
        bpy.app.timers.register(main_loop)

def unregister():
    if(bpy.app.timers.is_registered(main_loop)):
        bpy.app.timers.unregister(main_loop)