It is unlikely.
Here is why:
History of trading back in the top 20 of the NHL Draft
Hockey Draft Pick Transactions
2022: SJ traded 11 to Arizona for 27, 34, & 45
2021: Dallas traded 14 to Detroit for 22, 47, & 137
Edmonton traded 19 to Minnesota for 21 & 89
2020: Calgary traded 19 to NYR for 22 & 71
2019: Philadelphia traded 11 to Arizona for 14 & 45
2018: NONE
2017: NONE
2016: NJ traded 11 to Ottawa for 12 & 80
Philadelphia traded 18 & 79 to Winnipeg for 22 & 36
2015: NONE
2014: SJ traded 20 & 179 to Chicago for 27 & 62
2013: Detroit traded 18 to SJ for 20 & 58
Teams have not traded out of the top 10 for picks like in the NFL Draft in the last 10 NHL drafts.