Galaxy is certainly a useful platform, and it's helped thousands of scientists run bioinformatics workflows of various types. I applaud its development team for the work they've done. So in general, the answer to your question is 'yes', depending on workflows you're using.
That said, if you're planning to do a genomics project of moderate length (>2-3 months), I would strongly recommend that you learn to build and run your workflows* from a linux/unix command line terminal (ideally using HPC resources, if they are available). This approach is faster, more flexible and the skills will benefit your career. I can suggest specific skills to start learning if need be, and I'm sure the community on this forum will have useful comments to add.
If you don't have access to a high-performance compute node, one solution is would be to use iPlant (http://www.iplantcollaborative.org/). iPlant's Atmosphere cloud service (http://www.iplantcollaborative.org/ci/atmosphere) allows you to launch a virtual machine instance, and upload and analyze your data in the cloud.
The learning curve can be steep, but it will pay dividends in the future.
*Version control (git,svn) is something I highly recommend as well, because it will save you a considerable amount of time down the road. Accounts on github and bitbucket (and others) are free and you can save your code there.
See Why Should I Use Galaxy ?
Thank you