No, but it could run with a weak fuel pump.
If the fuel pump is not getting electricity then either the fuel pump fuses is blown or the fuel pump relay is defective.
Bad ignition coil!
what could cause my 96 Honda to lose all fire to the coil and fuel pump
In rare instances it could get stuck in the "on" position, but if it did, the fuel pump would not shut off unless you disconnected the battery.
You aren't supposed to smoke the fuel pump
If you are not getting spark, the distributor is common to fail. It is hard to tell from the question if you changed it or just the cap and rotor. Also, do you have fuel pressure. That could be a fuel pump. If you have neither fuel or fire, that could be aa computer or wiring issue.
The fuel pump will still try to pump fuel even if the tank is empty.
as to fuel, probably a pump or filter as to fire, could be the coil or distributer cap
If you have plenty of crank, but, no, fire, then your problem is in the fuel system. Check your fuel pump by disconnecting the lower fuel line on the filter and then try starting the car. If no fuel comes out of the line, you have found your problem! Bad fuel pump!
if this is an electric pump did you check fuse and relays
try the distributor module . may not be getting fire.
In the fuel tank