Certainly. Disregarding direct observation of the shape of the earth made by astronauts and unmanned spacecraft, here are some evidence that suggest the earth cannot be flat and is, in fact, spherical:

1. On a flat earth, the horizon would not obscure distant objects, since there will always be a direct line of sight towards them. For example, ships traveling away from shore will disappear from the bottom up, suggesting that the sea itself curves downwards.
2. Lunar eclipses occur when the Earth blocks sunlight from reaching the Moon. The shadow cast on the moon always appears round, suggesting that the earth itself is spherical.
3. The angle of the overhead sun can be measured simultaneously in multiple locations; these measurements will conform to a spherical earth and contradict a flat one.  This fact can be used to measure the radius and circumference of the Earth, as demonstrated by Eratosthenes in the 3rd century BC.

There are many other evidence that contradict a flat earth model, such as time zones, the position and motion of constellations, and the view of the sky and horizon from high altitude.
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