Simple answer is No.
Only one context field is supported out of the box.
The query you provide as context filtering query ( suggest.cfq=<query> ) is
going to be parsed and a boolean query for the context field is created [1].

You will need some customizations if you are targeting that behavior.

[1] query = new
StandardQueryParser(contextFilterQueryAnalyzer).parse(contextFilter,
CONTEXTS_FIELD_NAME);
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---------------
Alessandro Benedetti
Search Consultant, R&D Software Engineer, Director
Sease Ltd. - www.sease.io
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