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No, there is not.

The Schoof-Elkies-Atkin algorithm actually computes the order of the curve modulo small primes, and then puts the final result together via CRT, so in principle you could modify it to early-abort if it is found that the order is 0 modulo one of the small primes, but to get the final answer you still need to compute the whole order and check whether it is prime. Sage calls the Schoof-Elkies-Atkin implementation in Pari/GP for point counting, so this modification wouldn't be easy to do.