No, and I don't think Cleveland would have significant cap space even if they dumped Love.
Any trade seems like it would need to be a sign and trade with Miami that sends them Love. Maybe Miami would prefer picks and we could work a three team S&t.
As to the OPs suggestion, I'm not giving up a Brooklyn pick for Love, especially if trading Love is the only way they can get Wade.
Cleveland can't acquire a player via sign and trade as they will be a tax payer.
This isn't exactly correct. They would be prevented from being more than $4 million above the tax line. If they swapped Love for Wade and gave him $20 million, and gave LeBron the max, they'd have 10 players under contract with about $10.8 million left to spend before hitting the hard cap. It'd be a little tricky, because JR Smith presumably wants money. And who knows what Richard Jefferson want. But they could bring in a LeBron/Wade friend like Udonia Haslem, and bring back ultra-friend James Jones.
All that said, while I'd be perfectly happy to get Love, I'm not sure that Miami and Boston are the best partners as part of a three-way deal, although that could largely be because I have no idea what Miami would want more than Kevin Love himself.