Probably not. Looking at the first picture more closely, I'm seeing what appears to be 2 fuel filters. Looks like it's been ages since they've been replaced. I'd be tempted to remove the fuel line at the outlet end of the second filter, and see what kind of fuel flow you have. Should be a decent stream, not just dribbling. If it's a weak stream, remove the fuel line from the inlet end of the first filter, and check for fuel flow. If it's a good stream, then the old fuel filters may be part of the problem. If it's weak, start at the fuel tank connection. Can't see if your tractor has a sediment bowl or not. If it does, there "should" be a fine screen above the bowl. If not, it's letting contamination go into the fuel filters. Seeing two, tells me there maybe a lot of crud in your fuel tank.
There's definitely a fuel restriction if you need to choke it, to keep it running. Could be some particles came through the fuel filters, and are partially plugging the main fuel adjusting screw, or finer dirt has plugged the little cross drilled holes in the discharge nozzle, that picks up fuel out of the carbs. bowl, and delivers it to the venturi. It will need to be removed to clean those holes. A strand of automotive wire makes a good cleaner, or, a bristle plucked from a wire brush works too. Just be careful removing the discharge nozzle, as there's probably a small gasket that seals it where it seats in the carb.. If you're careful, you won't damage it, and it can be reused.
