Question:

Generally, yes. However, a travel document may be required - depending on where you are in the process.

If you have a valid visa or travel document during the processing of your EB-5 you may still continue to travel.

It depends. Which stage of EB-5 are you currently in? Where are you, in the U.S. or in your home country? What process are you following, adjustment of status (I-485) or Consular Processing (DS-230)? Seek professional guidance and provide FULL details of your particular circumstances in order to get a valid answer specific to you.