no dissociation does not affect whether someone is strong enough to open bottles and jars. in short dissociation is things like feeling numb, spaced out, disconnected.

physical strength comes using ones muscles. every human being has thousands of muscles in their body. the muscles are what moves your fingers, toes, makes your heart work your other organs work..

if your muscles in your hands are not strong enough to open jars and bottles you can improve this by going to physical therapy where you can learn special exercises like lifting weights, picking up and putting down objects. opening and closing objects, working with zippers and buttons, jars and bottles, flexing and using your muscles is what builds up muscle strength.

my suggestion is if this continues to bother you contact your doctors who can do tests like nerve conductivity, muscle strength tests, that can tell you what exercises and physical therapy you may need to be able to open jars and bottles even when you are dissociated.

your treatment providers can also help you with mental exercises like breathing and grounding so that you dont have so much dissociation problems.