No, not in that way! David's married to Georgia Moffett who played Jenny, the Doctor's daughter (well, if someone who was artificially created in a progenation machine using a sample of his DNA even counts as his daughter), back in Series 4. Coincidentally, she also just so happens to be the real life daughter of Fifth Doctor Peter Davison which adds a whole new meaning to the term "keeping it in the family". At least she can be assured that there'll always a Doctor in her house. Apparently one just isn't enough. Spoil sport.