kgwgk's explained why the answer is no, but let me offer a slightly different perspective. The situation is similar to the one we discussed earlier where you d

kgwgk's explained why the answer is no, but let me offer a slightly different perspective. The situation is similar to the one we discussed earlier where you do the same experiment twice. Before you do the experiment, your estimate of Pr(true value is in confidence interval) is 95%. But after you do the experiment, you have extra information: you know how the experiment turned out. And this may lead you to a different estimate of Pr(true value is in the confidence interval).