No, not directly. You’d have to divert it and only irradiate it for short periods of time (30 days rather than the 18 to 24 month cycles that current plants have).
Proliferation isn’t a significant concern for reprocessing within the US. It’s primarily a concern for other non nuclear weapons countries that start it because they can then create nuclear weapons.
The US has no need to do that. They have more plutonium than they need for current weapons and it has a half life in the hundreds of thousands of years so it will last forever.
That’s just flat out wrong. Reprocessing is significantly more expensive at current uranium prices.
And so many states would throw up tons of roadblocks for reactors shipping their used fuel offsite to a central reprocessing facility.