Struggle with vs struggle against

Hi everyone,

In the following sentence, can I use both phrases?
Many families are struggling against/with poverty and hunger.

What I think is:
struggling against means struggling to overcome the situation,
struggling with is to have a hard time in life because of poverty and hunger.

My teacher said that the correct one is struggling against, but I wonder if struggling with also makes sense.
I'm not sure if I get it right. Can you clarify the meanings?
Thank you!