No. Both brakes should engage when the brake are applied.
Remove the rear wheels and axles. Clean the axles thoroughly and ensure that all he grooves are free of grime.Re-fit the axles. Make sure that they are pushed right through and make a 'click' sound.Re-fit the wheels. Make sure that they are pushed fully onto the axle and make a 'click' sound.
If you are still having difficulties please contact your retailer or us directly through the support site.
IMPORTANT: We strongly recommend that this issue be resolved before further using the stroller.