Simple question about slicing and for loops without indices

If I was making this loop:

for i in range(len(array)):
  for j in range(len(array)+1):
    # some code using array[i] and array[j]

Would there be a way to do the same thing in this format?

for element in array:
  for next_element in array:
    # some code using element and next_element

Or would I just be better off using the i, j format?

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