Question

Can I have an activity running in the background while another activity is running?

Answer 1

You can use a Services then

Services

A service is a component that runs in the background to perform
long-running operations or to perform work for remote processes. A
service does not provide a user interface. For example, a service
might play music in the background while the user is in a different
application, or it might fetch data over the network without blocking
user interaction with an activity. Another component, such as an
activity, can start the service and let it run or bind to it in order
to interact with it.