Is it normal to feel the baby move at this stage?

Yes!  Most mums-to-be will feel movement from between 18 and 22 weeks.  It is usually later in a first pregnancy simply because the mum-to-be doesn’t know what to expect.  The embryo can be seen moving on Ultrasound from as early as 9 weeks!  A partner may only feel movements from as late as 28 weeks when the foetus is strong enough to create vibrations that will be transmitted through the uterus to be felt on the outside.