The President doesn’t control interest rates, the Federal Reserve does. And the President does not control the Federal Reserve. The President nominates the board of governors and the Senate confirms them.
The current Federal Reserve chair is actually a Republican first nominated by Trump and then nominated for a second term by Biden (in fact, against pressure from the more left-leaning Democrats like AOC and Warren).
Laying the interest rate hikes solely at the Biden administration’s feet expresses a lack of understanding about how the Federal Reserve and interest rates work in the US.
There’s plenty of blame to go around here.
Edit: here’s a link to the vote for the current chair’s renomination (https://www.senate.gov/legislative/LIS/roll_call_votes/vote1...)
I think it’s interesting because you see as diverse a group as Cruz, Hawley, Rubio, Sanders, and Warren voting together (nays) against the overwhelming majority of yeas (80 to 19 with 1 senator abstaining).