No, it is not possible. When you navigate to Quote or QuoteList apps, it will always popup the app in a new window.
You can reuse the window with the "target" parameter.
There are 4 type of target. 1. "popup" - This is a default value. A link will be openned in a new window. 2. "replace" - A link will be openned in the current window. 3. "tab" - A link will be openned in a new tab of the current window. 4. "activestacking" - A link will be opened in a new tab of the active stacking window.
so
JET.navigate({ name:"Eikon Explorer App", url: "cpurl://apps.cp./apps/twittersentiment", target: "replace"})
Will open the page in the same window. This doesn't work for quote list as its not a web page.