In general for unmanaged switches... no. There is nothing as a dedicated "uplink" port. All traffic needs to get everywhere. The switch doesn't care if two of your lan devices are communicating with each other or one lan device is communicating with the router, which "forwards" the traffic to a server.
There are switches where some ports can be faster than others. But that is mostly not the case in normal consumer devices ("8-port ethernet switch" sounds like a standarrd switch).