Is it possible to 结交朋友？
This Chinese text is ok.

◎ 结交 jiéjiāo
[take up with] 与人交际往来,联络友谊

Basically, 结交 means get close to someone, contact and communicate to improve the relationship. Becoming friends is just the result of 结交.
In another way, 结交 is not just making friends. In the following sentence it's hard to say 结交朋友 for me.

清 纪昀 《阅微草堂笔记·滦阳消夏录四》：“实则布散徒党，结交婢媪，代为刺探隐事，以售其欺。”
茅盾 《昙》二：“父亲是早已想利用她来结交权贵，姨太太又乘机构煽，他们都顶着礼教的大帽子来坑害她。”