Hi,
The engine has a lot of miles on it, but I wouldn't expect "no" compression. Due to wear, it may be lower than needed.
At this point, the only thing I can say is it doesn't make sense to me. Nearly all Honda engines are called interference engines. So, if the timing was off due to a belt/chain, that may have bent valves in a couple of cylinders leading to "no" compression. Other than that, there should be some.
Is there any way you could get the vehicle and check compression? Here is a link that explains how it's done. It's actually easy to do. You will need a compression gauge, but most parts stores will lend one to you.
https://www.2carpros.com/articles/how-to-test-engine-compression
Let me know.
Joe
Tuesday, July 11th, 2023 AT 7:27 PM