Answer
No.
Work Step by Step
In order to create a box and whisker plot, we use a box and a whisker plot maker online.
(To draw one by hand, we draw a line, making the far left point the minimum and the far right point the maximum. Then, we draw a box, where the left side of the box is $Q_1$ and the right side of the box is $Q_3$. Finally we draw a vertical line through the box: this is will be the median.)
After doing this, we find the following five number summary:
1497
1538
1550
1571
1642
The five number summary shows that the histogram is roughly symmetric, meaning that the data are roughly evenly spread out, this only indicates, but does not mandate, that the data are roughly bell-shaped, because one cannot conclude that the data are bell-shaped based on a box and whisker plot.
