Can I still apply for advance Parol?

You may submit your application, and you will likely receive an ASC appointment prior to your interview, but there is smaller likelihood that the advance parole document would be adjudicated prior to interview. While you have not explained an urgent or emergency type reason for travel, there is a way to request an expedite, if appropriate. Additionally, interview scheduling is not guaranteed to take a particular amount of time so there is chance to receive the advance parole prior to interview. Determining to use the advance parole document may be a different issue. Seek private consult for that discussion.

You may submit an application for advanced parole. It is extremely unlikely the application will be granted for your travel in 45 days

You can submit it. While it can be adjudicated before your interview if there are emergent circumstances, your statement says no such condition exists.