Sure, it is called proliferation or "vegetative growth". Usually happens with some varieties with the first bloom in the spring. Attributed to weather conditions or high dose of nitrogen. Snap it off, the next blooms should be fine. Some varieties are more prone to this than others. Nothing to adjust. See the thread from tivoli_rose from the main Roses Forum on the topic, linked below.

Here is a link that might be useful: Does the Plot Thicken? Vegetative Centers