Yes, but idk about “soon”. He kinda stalks her for a bit and tries to hand her tulips out in public. If it goes according to the novel, she gets mistaken for her sister - the reason being that while she was leaving the shop they saw the crest on her carriage. They figured with the bad rumors about Aria, and how elegant she acted in front of him, she had to be Millie. Thus sends hoards of fancy nice gifts to their house for “Millie”, when they’re actually for Aria.