If you're in love with a Jewish person and you're not Jewish can you still marry that person?

Your decision depends on how you feel about whatever your religion says.

The Jewish person's decision depends on how that person feels about what Judaism says, which forbids it.

Jewish Law (Halacha) does not recognize a marriage between a Jew and a Gentile. Rabbis (at least observant ones, Conservative and Orthodox) are forbidden to marry a Jewish person with a Gentile.

It is required under Jewish Law for the Non-Jewish person to convert to Judaism for the Marriage to be recognized in the Jewish community