"this could provide" is correct and usable in written English.
You can use it when describing hypotheticals, for example: "This could provide an interesting solution for the problem."
This could provide riveting political theater.
This could provide momentum to tackle the oil issue.
This could provide remedies against the most egregious intrusions.
If true, this could provide the spark that ignites the next confrontation.
Agreeing upon a plan like this could provide a peaceful way forward.
However, if successful, it hopes this could provide a new blueprint for small onshore wind farms.
This could provide some small-screen entertainment for bored kids on a rainy day.
This could provide an especially powerful narrative if linked to the wider health picture.
"For a patient wishing to stop cocaine, this could provide a desperately needed tool".
But none of this could provide the culmination that Goethe had failed to find in Rome.
This could provide hard proof that crowdsourcing your commute can increase overall urban sustainability.
