Yes, here is the documentation around querying options:
https://zenginehq.github.io/developers/rest-api/conventions/querying-options/
You should be able to do something like fetch /forms/123/records?min-created=2024-01-01T00:00:00 or fetch /forms/123/records?min-field456=2024-01-01
Only created and modified have a time part, date fields do not.
Server timezone is UTC. You should be able to pass a timezone in the query options.