It is not possible via PureCloud configuration/Script settings.
As far as I know, with PureCloud Web, the Scripter Open URL will open the page in a new tab or a new window (of the existing browser).
With PureCloud Desktop, the Scripter Open URL will open the page in Chrome (according to the following post).
They mention alternate solutions for such (listener on user's computer, chrome extensions).
For questions on features and configuration, I would suggest to use the Genesys Cloud Community site, which is more adapted for such questions.
This forum is meant for custom applications making use of the PureCloud Platform API & SDKs.