Can you avoid locking by guaranteeing that multiple threads won't access the same memory?

Say I have a large array and I want to process the contents with multiple threads. If I delegate each thread to a specific section, guaranteeing no overlap, does that eliminate any need for locking, assuming the threads don't access any other memory outside the array?

Something like this (pseudo-code):

global array[9000000];

do_something(chunk) {
    for (i = chunk.start; i < chunk.end; i++)
        //do something with array
}

main() {
    chunk1 = {start: 0, end: 5000000};
    chunk2 = {start: 5000000, end: 9000000};

    start_thread(thread1, do_something(chunk1));
    start_thread(thread2, do_something(chunk2));

    wait_for_join(thread1);
    wait_for_join(thread2);
    //do something else with the altered array
}