My understanding is, no.
If a team wins the
UEFA cup and does not qualify for the Champions League or the
UEFA cup the following season, then
UEFA can- if requested by that country's FA, allow the team into the competition.
However, if the cup winners DO end up in a postition to qualify for the cup anyway then an "extra" place will not be allowed.
In other words, the 7th placed club will not go in.