Yes, you sure can! It’s entirely legal to do. To marry a Portuguese woman in your country, you have to help her with all the papers that have to be translated into English.
If you’d like to stay in the US together and share the property, you have to apply for the K-1 visa—a non-immigrant document that gives your Portuguese spouse the right to be counted as a citizen of the US. You’ll need to sign a sponsorship agreement and prove your feelings at the interview.