No, you need to re-flash the ESP-01 with suitable AT firmware (this can’t be done via the Arduino IDE, you need a special software tool) then upload a sketch to the Arduino that uses the <BlynkSimpleShieldEsp8266.h> library to handle AT communications in the background.
Or, you could save yourself a lot of pain and dump the Arduino and ESP-01 in the appropriate receptacle and use a NodeMCU or ESP32 board instead…