You canIt's possible to do this manually by examining and copy/pasting the raw content where Chrome stores the flags, but you need rootroot 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)/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 a JSON format, which is actually a normal text-file file and can be opened with any text editor withhaving root access (Root Explorer includes text editor, but it's not free).
Thanks to Synetech's answer on Super User, 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", … ],
…
}
…
}