Yes that is normal I am 21 weeks 2marrow and I still have that it just the baby growing thats wat the doc told me
It sounds like the round ligament pain from your utrus growing and stretching which is normal as long as there is no bleeding. Ive had it too since 12 weeks and im now 18 weeks and I still get them once in a while. Its nothing to worry about, to ease your mind talk to your Dr about it.
Happy pregnancy wish you the best :-)