No, you can't. That graph shows the rise over the last 24,000 years, but your claim was about last 2000 years, and on that curve the last 2000 years are flat. The curve I linked from the same Wikipedia page is a blow-up of the same data over just the last 2000 years, and shows more clearly that it there is no increase visible over the last 2000 years.
My point is that we are in a post glacial period with slow sea level rise.
And my point is that the data you linked shows that we are in a post-glacial period after the glacial-melt sea level rise.
Now compare the linear sea level rise in the tide gauge data to the exponential CO2 level rise
There's your problem right there. First, CO2 rise is not exponential, and second, you seem to be assuming a model saying in which sea level should be linear in instantaneous CO2 concentration.
Dealing with the first point CO2 concentration in the air is an exponential plus a constant . Look again at the CO2 graph and look at the y axis. That constant is critical, because delta temperature is not linear in CO2 concentration; it is proportional to the logarithm of greenhouse gas concentration (this is why climate sensitivity is always quoted in degrees per doubling.) So the constant is a critical factor. This has been known since Arrhenius. Basically, since we haven't even hit doubling yet, we're still on the linear part of the curve.
and from predictions we should see a curve upward in sea level and we don't. CO2 levels really took off during WWII and here 75 years later we are not seeing the exponential rise predicted.
Yes, as for the second factor, what model of glacial melting are you using to ground your hypothesis that glacial melt rate and subsequent sea level change should be proportional to CO2?
Overall, I'd say that the data is not over a long enough time scale and is too noisy to accurately measure the second derivative of the curve. And, overall, you want global sea level, not one or two selected spots. There's good satellite data on that now, but the time scale is too short to measure second derivative.