The anser to your question is YES.
The 9-10 and 10-11 Tournament Teams can come from players in Minors and/or Majors. That is, every player of the proper league age is eligible, it does not matter if the player played in minors or majors during the year.
So, for example, a 10 year old can have played in minors or majors during the season and as long as he/she meets the eligibility requirements (age, residence, 60% participation) then he/she can play on the 9-10 or the 10-11 team.