Only if the Republicans manage to hang on to the Senate. If not, the filibuster is gone, and court reform can be done in a week. We can’t get rid of the lifetime appointment aspect of Federal judgeships, because that would require a Constitutional amendment. But any and all other changes are simply a matter of both Houses passing the legislation, and a Democratic President signing it into law.
The other option has a certain appeal, but is understandably unpopular - a Democratic administration could decide that SCOTUS doesn’t have the power to overturn duly-enacted legislation. The Constitution doesn’t really say that it does. We’ve just accepted the logic of Marbury for two centuries. Following an adverse ruling on some piece of legislation, the administration could say, “We’re considering the Court’s ruling, and will be discussing it with Congressional leaders,” and then just go on its merry way. To paraphrase Stalin, “How many divisions does the Court have?”