Elaboration may be necessary.
If it's OK to leave the field visible and just hide the data or to specify field options that only show the field content (transparent fill, no field boundaries...) You can use conditional formatting to make the data in the field invisible.
Is that what you had in mind? (The field appears empty if checkbox value is set even if it contains data...)
You might want to post an example of what you want to do here as there may be alternate approaches that work better...