The answer is yes. Whether you are male/male or female/female , the filing requirements are the same as with any fiancée visa, in that you have to have a US citizen petitioning for you, prove you met in person within two years, and establish your intent to marry within 90 days of entering the US. The process isn’t anymore difficult for a same sex couple as a heterosexual couple applying for a K-1 visa.
I have a number of clients that have met and fallen in love with women they have met over the internet. I always tell them to first check them out with a local private investigator in the country they are residing. The internet dating game needs to be played cautiously as there are a number of scammers that work the internet dating websites and are only interested in taking your money. Also, stay away from marriage brokers as you will also be subjected to heightened security. If your international love interest checks out, then I recommend a trip to their country to meet them in person. The USCIS will want to know that you have both met in person prior to filing for the K or Fiancee visa. Make sure you take plenty of pictures together and save your cards and emails to present you have a bona fide good faith basis to get married within 90 days of your fiance arriving in the USA.
If all goes well upon your return you can file a petition for a fiancee visa. The petition will be processed in the U.S., then if approved, will be forwarded to the embassy in your fiancee’s country of residence. This takes about six months. From there, an approval notice will be sent to your fiancee within ninety days advising of the additional documentation and requirements for the interview. I also advise to also fly in to attend the interview with your fiance. If all goes well a 90 day visa will be approved for entry into the USA. You must get married within 90 days or if things dont go well then have your ex-fiance return to their country of residence.