Yes, I found after 37 weeks this last time I felt more twinges and pains than the rest of the pregnancy. Sometimes I'd get what felt like 'knocks' on my cervix - quite uncomfy! And loads of BH's this last pregnancy too, from as early as 21 weeks.
If the pains you're describing are what Alan suggested, to do with your pelvis moving about, and it gets too painful, you can see a physio and borrow/hire a special belt that gives your pelvis more stability.