No both are different. Photorespiration is light dependent oxidation of photosynthetic intermediates with help of oxygen. Photoresiration also known as C2 cycle occurs in C3 plants under high light intensity and low carbon dioxide concentration. It is energy wasting process. Chloroplasts, mitochondria and peroxysomes are involved in photorespiration. Respiration on other hand side is a process involving production of energy typically with intake of oxygen and release of carbon dioxide from oxidation of complex organic substances. Mitochonria are involved in respiration.
There is a clear difference between photorespiration and respiration (some times called aerobic respiration). Photorespiration is a process of excess respiration, usually takes place in green cells only in the presence of light (day time), mainly in chloroplast, peroxisome and mitochondria.
Respiration, on the other hand, is a process of generating energy from sugar in the presence of oxygen in both green and non-green cells at day and dark time. It takes place in cytoplasm and mitochondria.
They have also differences at most steps of the pathways and the final product types.
They are not the same in plants. For example, plants such as wheat, barely, oat, etc or C3 plants contain photorespiration process, whereas some tropical plants such as sorghum, maize, etc or C4 plants do not use photorespiration much as they are efficient in fixing carbon. However, both kinds of plants consist of respiration.