Here's the answer:
Yes, there is a second book, and in fact, a whole series!
The series consists of the following books:
1. Miss Peregrine's Home for Peculiar Children (2011)
2. Hollow City (2014)
3. Library of Souls (2015)
4. A Map of Days (2016)
5. The Beast of the Ocean (2018)
6. Tales of the Peculiar (2019) - a collection of short stories
7. The Conference of the Birds (2020)
So, you can definitely continue the journey of Jacob Portman and the peculiar children!