Yes. However, you will need to have the bolt face opened in order to chamber 7prc.
Complete and fully assembled Remington 700 LA Bolt Upgrade. Bolt bodies are nitrided to maintain strength and durability while still allowing smooth bolt
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Either way I think your looking at ~$300 for the bolt or for gunsmith work.
I would just save a little and buy a Bergara in 7prc. The footprint is the same as rem 700 so upgrading stock and bottom metal could be down the road projects.
Bergara B-14 Hunter 7mm PRC Graphite Black Cerakote Bolt Action Rifle - 22in - The B-14 Hunter rifle features a molded synthetic stock made of glass fiber reinforced polymer. As with the entire B-14 Series, the Hunter brings Bergara Barrel accuracy to a line of hunting rifles that is affordable...
www.sportsmans.com