Basic account is not profitable to the banks. Therefore they might try to deny you or persuade you to get other types of account. Your options:

1) Insist on getting a basic account. You better come up with a good reason beforehand.

2) If rejected, try applying at a different branch. Even at the same branch, the outcome could be different, depending on the staff serving you. Some staff are more easygoing while others make it more difficult.

Only if you are already a Premier Banking customer with HSBC MY.

From HSBC UK website:

In general, UK banks do not open normal account for non-EU residents.
Some banks, through their international division, would open account if you are wiling to deposit a large amount with them.
For example:

1) HSBC Expat requires £50,000
2) Citibank UK requires £150,000
3) Lloyds Bank requires £25,000
4) Barclays Bank requires £25,000


As an alternative, the TransferWise Borderless Account is the closest option to a UK bank account for non-EU residents.
With this e-money account, you can receive/transfer GBP from/to any banks in the UK, at a reasonable fee (£0.65).
You can search this forum for other discussions on TransferWise (TW).