Doesn't seem like it
Realistically, Youjo Senki isn't really popular in any country.
This sub has a tenth of the subscribers that any of the other Isekai Quartet subreddits have. I only know of one other person personally that has watched it, and that is because I made them.
In Japan where it is cost to popular, it is still fairly niche. The movie doesn't show up on Box Office Mojo, but this ANN article keeps updating the total as it meets milestones. At $3.58 million, it comes in at about #30 on the Japan Yearly Box Office list for 2019. Unfortunately for Tanya, Fate/Stay Night: Heaven's Feel - II. Lost Butterfly ($12 million), City Hunter: Shinjuku Private Eyes ($11.9 million), and Code Geass: Lelouch of the Resurrection ($8 million) all came out either on the same day/weekend.
It started on 50 screens, then expanded to 150, and then into the 4DX thing which I guess is theater in a truck. The series has been heavily marketed (large advertisements, collaboration cafes, airsoft ranges, etc.) and every week there was a different limited "at the door" bonus booklet or 35mm film bonus. It is rare for a movie to still be screened this late in it's life. Carlo Zen is a business savvy individual and has a lot of media tied into the property (Light Novels, two manga series, two anime series, and now a movie). He is probably hoping for a second season even more than any of us are.
Back to my part of the world. The first volume of the english language light novel is #30037 on Amazon in it's category. Overlord (hardcover) is #8544. Crunchyroll and AMC are showing the movie once on 500 screens in the US. So I'm glad it's at least popular enough to get that over here.