ISTR that some of their ESP32 boards do, though. i.e., charge LiPo through the USB port.
Also, I think some of the Heltec boards do. I have one here with a JST battery connector, but I haven't used it in so long, I'm not sure. I think this is the one I have: https://heltec.org/project/wifi-kit32-v3/
Though I'll also not I'm having some problems getting it to take an upload properly, but I tend to find most of the LILYGO stuff takes a little experimentation to get everything right, then it is reliable once you know what it likes.
I found some modules on aliexpress with usbc connector, for example:
- IP2326 https://www.aliexpress.com/item/1005007175222069.html
- CN3302 https://www.aliexpress.com/item/1005006203228418.html
but I haven't tested them yet.
You can also get version to fit the Pico, or even a RP2040 based board with integrated battery management.