Is this histogram normally distributed? I can't tell since there are peaks that are outside the curve.
I'll try to re-phrase the already comprehensive answer by Nick Cox: Your (yellow-ish) data histogram is compared in the plot to a normal distribution of the same first two moments (expectation and variance), drawn in black. It is entirely expected that some bars of the histogram are above that line and some are below (by the very definition of a histogram). Thus, gung's reply "What are the data?" is warranted ;-)
Note that the answer to your question depends on the metric you want to apply. To put numbers to it, you may try and fit a gaussian distribution manually and look at the Chi^2 yourself. Interpretation must be done by the field expert (which is you)
As a supplement to the above answers:
At first approximation we can say that the distribution is normal. The Q-Q plots are another way to check the assumption of normality.