Pretty much. Except Lviv was not occupied by Poland. Had over 60% of Polish population in 1939. Stalin ethnically cleansed it for Ukraine.
Eh, it depends how you dileaniate the city lines. Eastern Galicia as a whole was firmly majority Ukrainian as was the suburbs of L'viv. The city was also obviously founded by a Ukrainian King. I've talked to Poles who share your view, but it just isn't one that I respect because the city was an island from which the Ukrainian minority (in Poland) was continually oppressed. If you're ever in L'viv I recommend the musuem of Occupational regimes, it is an old prison built by Poland for Ukrainian political prisoners.
I'm not going to pretend it isn't a controversial issue but it isn't fair to present the issue as being just about the city itself when if you look at the region as a whole and the history of the city as well as the fact that Poles and Jews made up about 1/3rd of the city each with Ukrainians the other 1/3rd if you include the city outskirts from before WWII.
About the original question I think it is fairly clear, as I said before, that it is basically impossible, for two main reasons. One, Poland really has no strong pull towards taking the territory, and two, Ukraine and Belarus are strong enough to prevent that.