Chance to Poison/Bleed works on Projectile/Traps?

Solution 1:

Bleeds can only be applied by attacks dealing physical damage, this is why the passive node says "Attacks have 15% chance to cause bleeding". This does include projectile attacks like those from bows. You can also link bow skills like puncture to a trap support gem. So yes, depending on the set up you can cause bleeds with projectiles (from attacks) and traps.

Poison can be caused by any damaging hit (attack or spell, doesn't matter for poison) that deals physical and/or chaos damage, assuming you have some % chance to poison on hit affecting whatever skill you are trying to poison with.