I personally would not. That tire looks like it still has plenty of miles ahead of it. Small cracks and cuts are normal on a tire, and especially the cracks are common in the more budget oriented tires, although they can also easily occur in more expensive tires as well.

But if you're not buying an expensive tire and feel uncomfortable riding the current one then sure, go on ahead and swap it. A good method of getting most out of your tires is to swap the front tire in the back and getting a new front tire. This way you'll always only need to replace one tire at a time (if not for failures or something like that) and you'll always have a pristine front tire, where tire condition is most important.