Not likely - fans are low wattage components.
However, you need to add up and total the wattage requirements of all installed components. Current and being considered.
Use the high end wattages presented in the individual component specs.
Once totalled then add 25% to establish the required wattage baseline that the PSU must support.
There are a number of online calculators that can help you compute the totals. Use at least 2 or 3 to get some sort or overall confirmation of what wattage your computer requires.
And look into the existing PSU: Make, model, wattage, age, condition, etc.. An old PSU or low quality PSU, even if rated at the necessary wattage, can cause problems if forced to perform at the high end of its capabilities.