Yes. Switch out your current brake levers for a set of Tektro brake levers:
https://www.worldwidecyclery.com/pro...et-black-black
You can buy them many places, this was just the first on google.
As you can see, they are modern and inexpensive, though they are a good product. I have a pair on one of my bikes which has bar-end shifters.
Bar shape also makes a difference because the brake hoods need to blend with the bar to some extent.
More reading:
https://www.bikeforums.net/road-cycl...l#post12953035
https://www.bikeforums.net/bicycle-m...bar-setup.html
Drop Bar Hand Positions: an Introduction
Another problem can be too much weight on the hands which can be caused by the saddle being too far forward. In which case, moving it back can help. Moving the saddle back also increases reach which many people aren't used to. But see the photos in the Numb Hands post. As long as you don't have more reach than that, you're OK.