"possibly provides" is correct and usable in written English.
You can use it when you are talking about something that might provide a certain result or benefit. For example, "This new technology possibly provides a faster and more efficient solution."
She helps her clients get out of bed, helps them shower, changes their linens, and possibly provides a meal, all within 90 minutes.
Through a numerical example one can foresee the savings that the developed model possibly provides.
This model possibly provides a basis for the automatic process control of waste PCBs production line.
This possibly provides a mechanism leading to the expression of functional somatic symptoms.
The choices are between species preservation, which possibly provides a cure for a disease, or developing habitat, leading to irreversible depletion.
It has even been argued that the axial position ligand influences the oxidation potential of the enzyme, which possibly provides the mechanism for regulating its activity (Fig. 1) (Claus 2004; Kumar et al. 2003; Enguita 2011; Garavaglia et al. 2004).
The Fed will release the minutes from its June policy meeting on Wednesday afternoon, possibly providing clues into the timing of a possible reduction of stimulus measures.
To make that possible, the council will move around some money already allocated for 2016 and possibly provide new money for 2017.
But America owes its sailors the best protection Washington can possibly provide.
These ads substitute for their memories — possibly providing them with better recollections than reality ever could.
The driver couldn't possibly provide change and there were no shops nearby.
