Not typically. Usually backfiring is caused by either a damaged distributor cap or an engine ignition that is seriously mis-timed.
Normally you do not get carbon buildup on injectors. They can get gummed a little, or blocked, but that should not cause backfire. Check timing.
I will assume you asking about a petrol motor... usually its incorrect timing settings, find out what the timing setting should be, then adjust to suit a leaky exhaust system will also cause this
A loose bolt or screw is the most common cause for a leaky faucet
No, backfire is usually caused by park plug wires that are installed incorrectly or an engine that is out of time. Fuel filter and pump will not cause backfire.
Incorrect Timing Can Cause Backfire.
Having no catalytic converter installed is illegal and can cause a myriad of problems. Probably not a backfire though.
Yes
Coolant temp sensor, or leaky injectors, bad Ecu, weak battery
Could be, in need of a tune up, vacuum leaks, leaky fuel injectors,
could be faulty plugs, wires, coils,clogged fuel filter, vacuum leaks in hoses or intake manifold,fuel injectors clogged, leaky egr vavle.
The chain can not backfire. If it is installed off time it can cause a backfire, which could conceivably damage a starter.
There are several things that can cause your 2000 Chevrolet to backfire and die. The most common cause is a plugged catalytic converter.