Yes. If you want to scroll back over my posts on this subject for the last 13 years you will find luck is an ingredient I rarely fail to mention. However don't draw a circle around it in order to exclude the other requisites. That would be a mistake.
"Statistics", do not define "luck", they are an abstract, or at best, an art form that are often used alongside a science. Often used to provide an interpretive quantum, they can be whatever you want them to be. By one definition they are: a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate numerical parameters.