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I think not...
Ejecta from Sun will be expanding with relatively high speed, so it won't be possible for Jupiter to accumulate enough in a time period the material is nearby. Right now I am not sure about the exact total mass of the ejected material, but if I remember correctly, it is not that large at all, as only the outer layers of the Sun will be ejected.. so there will not be enough material for the scenario you are describing even if the capturing process is 100% efficient (and I feel it will be much less than 0.001%.
I will check the exact numbers later and come back (if someone else doesn't do it in the meantime)....)
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