I think there might be but it has to fit a certain kind of heat.
Like 1993, 1995, 2002 and 2010 kind of heat.
The kind of heat where you have extreme high temperatures not high heat that is solely the result of high mins. I think either Don or Chris or both came up with something a year or two ago that would be something worth investigating in terms of the "why"-- this kind of heat actually results from a -NAO in the summer so it makes sense if it was persistent blocking it would also help make the winter cold/snowy too. That's what happened in 2010. This is accelerated by when we go from el nino into la nina. Another winter from the past which fits this category is 1966-67, which was very snowy and came after the exceptionally hot summer of 1966.
While all our summers are very warm to hot now, when we're trying to figure this out, we have to look beyond the numbers and look at what kind of heat we are talking about. We are specifically looking for heat that comes from extreme high temperatures, not just high mins.
1966, 1977, 1993, 1995, 2002, 2010 all fit this category.
Also noteworthy is that of this list 1966, 1977, 1995, 2002 and 2010 were all either el nino going into la nina, two year el nino, or el nino going to neutral.