Yes! The best way to nip it is to unplug it. She will go into withdrawal for awhile. Then, she will learn to play. Your daughter doesn't know how to play. When my kids start up with saying they are bored - they are immediately put to work (dusting, sweeping, mopping, cleaning cabinet/dishwasher/refrig doors. etc.). They either will find something to do or they get really into the cleaning thing and like it (depends on the day). But, being bored is not allowed in my house. Only boring people get bored :-)
When the digital transition took over, it took a long while for me to find the time to switch over and we still haven't done it right. But, for those several months, my kids didn't have the option and they became very good and figuring out something to do. But, it took a while.
Your daughter does not know how to entertain herself or use her imagination thinking of what she can do next. That has to be learned and developed. The only way it worked for me was unplugging it and I didn't even do it totally on purpose (I did it on purpose for a few days just to see how they would react - but the months thing is what worked). When I was a kid I only remember watching cartoons on Saturday mornings.
You have to limit it and force her to go be bored in her room or in the backyard. Go in with her for a few minutes, or give her several ideas and then let her go. Let her be bored. It's the best thing you can do for her. She will hate it and find something to do even if it is merely mopping the floor!