Yes! Combinatorics, graph theory, linear algebra, and even some parts of theory of computation and grad-level abstract algebra and algebraic number theory can be learned without calculus (I think!).
N.b. This is not to say that these are all easier than calculus, and I wouldn’t even really recommend learning say Galois theory before calculus, I’m just saying it seems that one could.
N.b. This is not to say that these are all easier than calculus, and I wouldn’t even really recommend learning say Galois theory before calculus, I’m just saying it seems that one could.