No; the baseband is different. Although the network architecture in LTE has been simplified over GSM and UMTS, I don't think there is a solution available yet that combines both FDD and TDD into a single platform. The radio units could probably be common, as could the core network, but not the brains of the base station.
There's also the mobiles to consider. They're having a hard enough time dealing with the dozens of LTE bands (and band combinations when it comes to LTE-A and carrier aggregation) that throwing FDD + TDD into the mix is going to be tricky when you have such a small platform to work with. I wouldn't expect and all-band device anytime soon.