Not really immediately, but I have certainly seen it argued that the failure of Charles' regime to satisfactorily aid protestants in Europe contributed to a sense among English radicals and Scottish Presbyterians that he was uncommitted to the protestant struggle.

Alexander Henderson, a leader of the Covenanter regime in Scotland also viewed their conflict with Charles as part of a Europe-wide defense of true reformed Protestantism. (See L. Charles Jackson's 2015 biography of Henderson called Riots, Revolution and the Scottish Covenanters) I have read of similar attitudes from the 'hotter' English protestants, so it certainly seems plausible to argue that the tensions of the ongoing 30 Years War contributed if not directly to the proximate causes for war, to a general siege mentality among the 'Godly' of England and Scotland. The Civil Wars are complex bundles of religious, political and constitutional issues and finding one direct cause isn't necessarily possible, but for some of the participants at least, they were seen as wars of religion. The context of the French and German wars were certainly not lost on the English and Scots. So in a word I would say yes, they were related, though perhaps not directly.

On the European side, this article (https://erea.revues.org/3678) argues that European powers like France and Sweden viewed the Scottish crisis and subsequent civil wars as having the potential to be a proxy extension of the war in Europe, though it appears the actual influence these powers had in the Three Kingdoms was fairly limited.