Question

Again yesterday .1 Alice (tell me that she - (not have) manyhobbies when she was a child.​

Answer 1

1) Alice told me that she had not had many hobbies when she was a child.

Answer 2

It seems like there might be a bit of confusion in your sentence. If you're trying to say that Alice did not have many hobbies when she was a child, the sentence would be:

"Yesterday, Alice told me that she didn't have many hobbies when she was a child."