I looked for it, but there are lots of confounding factors, particularly that statistics don't really distinguish between accidental poisoning/overdose and attempted suicide by poisoning/overdose.
There is a good discussion of various factors (duration of suicide crises, availability of means, opportunity to abort the attempt or be rescued, and the lethality of the mechanism).
"Nine out of ten people who attempt suicide and survive will not go on to die by suicide at a later date."
"A number of studies have indicated that when lethal means are made less available or less deadly, suicide rates by that method decline, and frequently suicide rates overall decline. This has been demonstrated in a number of areas: bridge barriers, detoxification of domestic gas, pesticides, medication packaging, and others."
https://www.hsph.harvard.edu/means-matter/means-matter/saves...