No, only editors or the channel owner can delete clips made from their streams. If you are a editor you can access the content clip section by going to the following URL:
https://dashboard.twitch.tv/u/daopa/content/clips/channel
Replace daopa with the channel name that you are a editor for and it will show the clips section. From there you can select the clips you want to delete by check marking them and pressing the delete button.
Another way to get to this section is from the mod view. To get to mod view, click on the sword icon at the bottom section in the chat block.
After that go to the channel actions section on the side and expand it.
