Yes, you could transition people to a different stream having the required cadence based on their web activity (e.g., Clicks link on Webpage, Visits Webpage, etc.) You can set up a campaign for pulling this off by using the webpage activity trigger/filter in the smart list and "Change Engagement Program Stream" flow step, or alternatively, use the trigger-based transition rules to pull people upon performing web page activities in the target stream. You'd need to add the apt content in both the nurture streams though.
If you could explain your current setup and exact business case, we could provide a more detailed and specific answer to your question.
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