Unlikely, if his system ran out of memory he should see message such as "Killed" or "kernel: Out of memory: Kill process XXXXX".
You mean the "oom_kill_process" and "out_of_memory" lines aren't good enough for you?
The message you mentioned is part of
call/stack trace, so i'm not sure whether "OOM killer" crashed when system out of memory or hardware error (e.g. faulty RAM).