Yes, with a VPN on your device, you can bet on bet365 Sportsbook from anywhere, even if you're in a country that's blocked from using bet365.
If you use a VPN that works with Bet365 then yes, you'll have access to the same betting markets from home while you're abroad. For example, if you're from the UK and travel overseas, you'd need to connect to a VPN server in the UK to get a UK IP address.