Yes, the last one I fixed was just like that. The leak was between the reservoir and the passengers side nozzle. There was still enough pressure for the first nozzle but not much left for the drivers side.
Does anything come out of the drivers side nozzle? If there is some flow but just weak, it could be a leak in the hose or the tip of the nozzle cold be broken making it too large to get a good spray. If there is no flow at all, it is more likely there is a plug, especially if the passengers side seems to have too much flow.
On a 20 year old truck, you may just want to go ahead and replace the tubing and both nozzles. That costs $10-$15 and may take much less time than trying to figure out exactly what the issue is. Even if you identify the issue, you still have to fix it, so maybe just fix it to begin with. There are lots of kits on Amazon.
LMHmedchem