You can but "broke into flame(s)” is a lot less common than "burst into flame(s).”
"Broke into flame(s)” is usually used where something has been smouldering for a while.
"Burst into flames" is usually used where flames sudden;y and dramatically appear.
I never cease to be amazed at how many examples Google throws up of expressions I’ve never heard anyone use…
To burst into flames is an idiom, and it appears as such in all the major dictionaries. The same does not apply to “break into flames”. In fact, on my planet your burst into flames and only break into song, or a bank!