Hey Jason,
IMHO anytime is the time to make cheese! There obviously are environmental issues to consider, but these can be overcome. Most people don’t like to make cheese in the hottest part of the year. But if your house temp is controlled - i.e., air conditioned - you don’t need to worry about that. You certainly need to have a suitable environment for aging - but that would be true at any time. I hope you have access to raw milk, because that will make the very best cheese (also IMHO). If it’s your very first cheese, as you say; I’d suggest one that has a short aging time so that you can test your work quickly and make any necessary adjustments. Besides, while patience is a virtue, it’s incredibly hard to sit and wait for that first cheese.
So, go for it!