Yes, if you run a full Man-in-the-Middle attack and succeed at breaking through the SSL layer through some method (not POODLE, it does not do that, but FREAK and Logjam, when applicable, are a possibility), then, by definition, you control everything that the client sends and receives. So you could send redirect HTTP requests to make it connect to some other server.
However, still by definition, you can do the MitM because you arranged for all the incoming and outgoing traffic of that client to go through your systems. Therefore, any attempt at turning the client into a DoS agent will make it send these requests to you. So you are really DoS-ing yourself. Thus, this is pointless.
A better model would be to use this hijacked connection to try to induce the victim into downloading some malware that will give full control of his machine to you, and allow you to come back later (when you no longer intercept all I/O traffic) to pursue some nefarious deeds such as sending spam or, indeed, run DDoS attacks (assuming that you succeeded at infecting a lot of people's machines).