It's possible to do this manually by examining and copy/pasting the raw content where Chrome stores the flags, but **root access is needed**.

The file that stores the flags is located on:

- `/data/user/0/com.android.chrome/app_chrome/Local State` (according to [Chromium's Official Documentation](https://chromium.googlesource.com/chromium/src/+/master/docs/user_data_dir.md#Android))
- `/data/data/com.android.chrome/app_chrome/Local State` (based on testing and experience, possibly for single-account user)

The file `Local State` (without extension) is in JSON format, which is actually a normal text file and can be opened with any text editor **having root access** ([Root Explorer](https://play.google.com/store/apps/details?id=com.speedsoftware.rootexplorer) includes text editor, but it's not free).

Thanks to [Synetech's answer on Super User](https://superuser.com/a/489131/356789), the flags are stored under `enabled_labs_experiment` JSON array in the `browser` JSON object node.

Example (taken from the answer)

    {
      …
      "browser": {
        "enabled_labs_experiments": [ "disable-gpu-vsync", "extension-apis", … ],
        …
      }
      …
    }