Hello Hannah,
There is nothing wrong with using 过 in your sentence, but the order of words in this sentence is not correct.
Normally, When adverbs or adverbial clusters modify verbs, they are placed immediately before them. For example,
我在秋天过生日---correct
我过生日在秋天---wrong
我在飞机上过的生日---correct
我过的生日在飞机上---wrong
So if you want to keep 过 in your sentence, the sentence should be structured like this,
我希望我的生日在秋天过
我希望我在秋天过我的生日