If you're talking about a checking or savings account, you can safely close it without it affecting your credit score.

Closing a credit account could affect your score, but unless your checking account has a credit product attached (e.g. an overdraft protection line of credit) that gets reported to credit reporting agencies, it won't have any impact.

You can use https://annualcreditreport.com once per year to get a copy of your report from each of the three agencies (Equifax, Experian, and TransUnion). If your HSBC account doesn't show up on any of those reports, you can be assured that closing it won't affect the scores generated from those reports.