Can a 6 volt solar panel power a 4 watt item? ...

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Is it a 6 volt thing? Need to know that to answer the query.

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Usually these panel are rated by watts.
The voltage of the panel isnt satisfactory to answer your question.
However 4 watts is a incredibly small amount of power. Less then most street lamp bulbs.

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Answers:    use this formula
watts/volts=amps
amps X volts = watts

So if your widgit uses 1 amp at 6 volts = 6 watts
Solar panel does not produce enough power.
I don't mess near solar enough to know going on for voltage the panels produce but the formula works for any voltage.

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