How to update apps on iPhone with no Wi-Fi?

My Wi-Fi antenna in my phone is broken and I have roughly 30 apps that need updates. A few I can't use until I update. I don't want to burn through a ton of data updating apps. I didn't know if I can update my apps through iTunes on a different computer than I'm synced to due to the fact that my hard drive crashed
In my computer. Any help or advice is appreciated(other than telling me to get a new phone. If I could afford it I wouldn't be asking this question)

If Wi-Fi doesn't work, and your hard drive is toast, then you're SOL.

Well its data or nothing at this point. That or try to get the phone fixed.

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