Uhm, well the answer is "sortof, maybe".
The "maybe" part has to do with the SoC; some DB410c's ship with APQ8016, and others ship with MSM8916. They are technically the same part, but the APQ versions failed modem tests and had the respective fuses blown to fully disable it. So if you happen to get one with the MSM8916, then technically it has a modem... sortof. The reason I say "sortof" and not "yes", is that though it may HAVE a modem, it isn't actually wired up to anything. So it is impossible to use.