Yes, many routers offer functionality to trace the IP addresses that devices on your network are connecting to. This can be useful for monitoring and controlling which websites and online services specific devices are accessing. The feature you're looking for is typically called "Traffic Monitoring," "Traffic Analysis," or "URL Filtering."

Here's a general outline of how you can use your router to trace the IP addresses associated with the websites or apps your devices are accessing:

Access Router Settings: Open a web browser and enter your router's IP address in the address bar. Common router IP addresses are 192.168.0.1 or 192.168.1.1. You'll need to log in with your router's username and password.

Enable Traffic Monitoring: Look for the relevant settings in your router's control panel. It might be under the "Security" or "Advanced" settings. Enable traffic monitoring or analysis.

View Traffic Logs: Once enabled, your router will start logging traffic. You should be able to view logs or reports that show which devices are connecting to which IP addresses (websites or apps).

Set up URL Filtering (Optional): Some routers have a URL filtering feature that allows you to block access to specific websites or apps directly. You can use the logs you gathered in the previous step to identify the IP addresses associated with the websites or apps you want to block.

Device-Specific Monitoring: Many routers also allow you to monitor traffic on a device-specific basis. This means you can track which websites and IP addresses a particular device is connecting to.

Blocking Specific IP Addresses: If you identify the IP addresses used by the apps or websites you want to block, you can configure your router to block access to those specific IP addresses. This is an effective way to prevent access to certain services.

Please note that the exact steps and features available can vary depending on your router's make and model. It's a good idea to consult your router's user manual or visit the manufacturer's website for detailed instructions specific to your router.

Keep in mind that while this approach can help you monitor and control website and app access, it won't necessarily give you a detailed breakdown of every aspect of the network traffic. Additionally, IP addresses may change over time, so you may need to periodically update your blocking rules.

If you have specific apps or websites in mind that you want to block, it's also worth considering using built-in parental control features on mobile devices or using dedicated parental control software or apps for more granular control over content and usage.