He didn't return a top 100 prospect, so yeah, the Twins could have gotten that done, and it wouldn't have taken Lee or Walker. That's not realistic.
He didn't even return a top DBacks prospect. Numbers 14 and 30 in their system, by MLB's measure.
https://www.mlb.com/news/aj-puk-d-backs-marlins-trade
Keep in mind Puk has 2 more years of team control as well.