YUP. What sort of meter do you have, is it "analog" If so it should have a zero adjust for the ohms, OR sometimes the meter face gets static charged.
If it's digital, you might unhook one lead at a time, and short across to see if just one lead gives you a close to zero reading. Shake the lead to make sure it's not intermittent. Some meters (Fluke) have a procedure on "low ohms" to cancel out lead resistance.
I agree that you probably have either a trouble(s) in the bulkhead connector OR OR there is a huge splice in the harness that can fail--I've seen 'er.
I assume you are working on your 66 Cuda? If so, I'll try 'n post some of the trouble spots.