The following is from The Nation's website today. I am not sure what the last para means, but the report suggests that it should be ok to travel:
Phase 3 of the easing of lockdown measures, which comes into effect from June 1, permits inter-province travel to allow people to return to normal life and help revive the economy.
Travel across provinces in phase 3 as published in the Government Gazette sets the following conditions:
▪︎No one should be out during curfew hours between 11pm and 3am the following day.
▪︎Passenger vehicles as well as those involved in public transport of people or goods that depart from a province before 11pm can arrive at the destination in another province after 3am the next day.