Dave you may want to try switching to sRGB if you’re using the desktop app. Other than that, I think differences in color appearances are normal between browsers but I’m not very knowledgeable about such things.
Anyone still wondering, I had this problem and I did screen grabs of how it appeared on Chrome and how it appeared in Figma, imported the images to illustrator and compared ink dropper values. Someone above said rgb might work better than hex and for ease of what illustrator offered, I got rgb values for how the colours appeared in figma and slotted those into css. Now the colours rendered on chrome are a much better match for how they look in Figma.