There's not, and inspecting the C++ source shows that the program doesn't generate any such thing. calibration_dump does produce json, but it doesn't write it to a file, spewing it instead to stdout:
chris@ducktape:~/luxonis/depthai-core/build/examples$ ./calibration_dump
Is EEPROM available: 1
User calibration: {
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"boardConf": "nIR-C11M00-00",
"boardCustom": "",
"boardName": "DM2088",
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"miscellaneousData": [],
"productName": "OAK-D-POE-C22",
"stereoRectificationData": {
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Factory calibration: {
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"boardConf": "nIR-C11M00-00",
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User calibration raw: 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Factory calibration raw: 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