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.
For example, Bet365 was taken to court for refusing to pay over 1 million in winnings to a horse bettor in Northern Ireland in 2024. The company refused a payout of 54,000 to a customer in England in 2024, a case which was still ongoing in 2024.