Print the input.

You forgot to return the sum.

"number1 number2 (and so on if necessary) sumOfCubicNumbers Lucky"

3507 is the sum of the cubic numbers, not a kata issue.

"number1 number2 (and so on if necessary) sumOfCubicNumbers Lucky"

number1 is 0 (the only cubic number there)
sumOfCubicNumbers is 0
Lucky needs no explanation

Not a kata issue.

Random tests for Python add four digits not present in string at the end of every solution:

Oh dear! is_sum_of_cubes("eiusmod labore :,! ,;. ::#. ipsum Ut ad :!!. ' dolor . . commodo 407371153 407 :.# adipiscing 0 ~;?? 153 0 153 ~ in ~, 3713710 1 velit 4071534071530") returned: '407 371 153 407 0 153 0 153 371 371 0 1 407 153 407 153 0 Lucky' should equal '407 371 153 407 0 153 0 153 371 371 0 1 407 153 407 153 0 3507 Lucky'