No. Not using double precision numbers. That does not say you can do nothing.
You can use the symbolic toolbox to compute the result. This will be slow if you are doing many computations. But it will work.
Or you can learn about how to work with logs in your computations. Then you can learn about the function gammaln. This computes the natural log of the gamma function.
That does not mean you can then simply exponentiate the result, since it will still overflow. But if you learn about how to do these computations, you can almost always suceed.