No, there is no access to the running dynamics or training data via ConnectIQ.
If you were feeling froggy, you could probably use the AntPlus module to access the running dynamics data. You would have to decode the data yourself, but it is theoretically possible. There doesn't appear to be an ANT+ device profile for the running dynamics data published on thisisant.com, so you'd probably have to pay to get access to the document or reverse it.
