For those of you with experience in these areas, could I double major in Assyriology and Classics?

I have a large interest in both areas, though if obliged to choose I would certainly select classics. I am aware that Latin and Greek are hard to learn due to the high inflection. I am also aware that cuneiform script is incredibly comples and that Sumerian, being a language isolate, is notoriously hard to learn.Therefore, I think that either area would require a dedication not feasible while learning the other as well. Is this the case?

@FLspqr :
The question I’d ask you first is: what do you want to do with Assyriology? Archeology? Work at Sotheby’s? Be a museum curator?
Are you already in college or a HS student?