Not directly, no.
Since your application is not using syslog to begin with, syslog has no way to intercept that data. The application would need to be reconfigured to use syslog instead of log files.
Alternatively, you could use the
logger utility to post-hoc send the log file via syslog:
logger -f /app/data/log/foo_log.021118
where you could then configure appropriate facility/priority pairs in /etc/syslog.conf (and then use
-p that-facility.that-priority in the call to logger). You would probably want to send the log file via logger after the application has finished writing to it; the timestamp implies a daily log file (2 Nov 2018, I'm assuming, based on today's date), so you could set up a job to send yesterday's log file.