YES. OMG so many studies.
https://rosap.ntl.bts.gov/view/dot/1322/dot_1322_DS1.pdf
https://www.sciencedirect.com/science/article/abs/pii/S000145752400455X
https://journals.sagepub.com/doi/10.1177/03611981251398754
And more but you get the point and that's not even getting into non US countries where road standards are more pedestrian-centric.
The conflict arises because at a red light all the driver's attention is left watching for oncomming traffic making it easy to miss a pedestrian on the right - a pedestrian that technically has the rightaway. And if visability is low - say it's dark, raining, foggy, or you drive an SUV with that giant frame bar running along the side of your windshield - it's easy to miss someone in the crossing. Especially if they are low because they are a child or in a mobility chair. Safest thing to do is not have pedestrians and vehicles competing for the same space at the same time.