Event Espresso doesn’t have a feature that will limit checkbox selections out of the box.
This is something where you or a developer could add some specific jQuery code to the registration page templates to make it so the checkboxes get disabled after x number of checkboxes are selected. Here is a link to a related stackExchange thread:
The support post ‘Limiting number of checkboxes to choose’ is closed to new replies.
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Support forum for Event Espresso 3 and Event Espresso 4.