Yes, if it's a savings account with a variable interest rate, the bank may adjust the rates according to the product terms and conditions and disclosures.
Therefore, don't compare a savings account to a fixed-rate certificate based solely on the current day's interest; monitor the balance tiers, the frequency of interest calculations, and any official updates from the bank.
The figures, fees and limits in this answer vary by bank and change over time — confirm them with your bank or the official source before acting.