I doubt it, because the cognate to English drop, German Tropfen is Yiddish tropn https://en.wiktionary.org/wiki/%D7%98%D7%A8%D7%90%D6%B8%D7%A... and the cognate to English dreep, German triefen is Yiddish trifn https://en.wiktionary.org/wiki/%D7%98%D7%A8%D7%99%D7%A4%D6%B... so I would expect a cognate to English drip to have an initial "t" as well.

Also, https://www.cs.uky.edu/~raphael/yiddish/dictionary.cgi says that "dripe" means "defecate (taboo)".