Hi! I'm always happy when someone say this sentence! I think everyone will be happy when he or she hear this sentence from you!
I'm going to give you some ways to say this sentence in Chinese, now:
我希望可以跟你交朋友 wo3 xi1wang4 ke3yi3 gen1 ni3 jiao1 peng2you.
希望可以成為(成为)你的朋友 xi1wang4 ke3yi3 cheng2wei2 ni3 de peng2you.
我可以跟你交(個)朋友嗎(吗)? wo3 ke3yi3 gen1 ni3 jiao1 (ge) peng2you ma?
我們可以當(当)朋友嗎? wo3men ke3yi3 dang1 peng2you ma?
With this meaning, you also can say:
很高興(高兴)認識(认识)你 hen3 gao1xing4 ren4shi4 ni3 (Nice to meet you)
很高興可以跟你交朋友 hen3 gao1xing4 ke3yi3 gen1 ni3 jiao1 peng2you (Happy to make friend with you!)
Good luck!