Asexuality exists on a spectrum, and although some individuals who identify as asexual are desiring no sex, many are. Asexuality exists on a spectrum, with great variety in the experiences and desires of individuals with regard to relationships, attraction, and arousal. The existence of distinct romantic and sexual attraction spectra means there is a broad spectrum of possible romantic identities with which an asexual person might identify. Many asexual individuals want and engage in romantic relationships. An asexual individual may experience no sexual attraction, but they can nevertheless feel romantic attraction.
The same is true of individuals who do not identify as asexual anymore. Also, some individuals may identify as asexual, but then feel they frequently experience sexual attraction. Many people may feel like they are asexual someday, as they feel very little to no sexual attraction. Someone may identify as straight, but then feel asexual afterwards.
Asexuals might experience romantic attraction, but do not feel compulsion to act upon those feelings sexually. Just as asexual people feel almost no sexual attraction, aromantic people experience almost no romantic attraction. It is true that some asexual individuals do not feel a desire for any kind of romantic or physical relationships.
In common parlance, a crush indicates a certain kind of romantic attraction, so yes, it is possible that an asexual person could very well be having crushes on people. Since asexuals tend to distinguish different kinds of attraction, we distinguish between different kinds of crushes as well. People make the distinction between sexual and romantic attraction everyday, they just do not think about sex in these terms.
For people who are ACES-identified, and some people who are bisexual, sexual and romantic attraction are not always so neatly aligned. Some ACE-identified people may prefer close emotional or romantic bonds, while others do not – either way, it is not proof that they are broken or that they have an illness. Sexual attraction may result in sex drive, but it does not always, and ACE-identified people have great variability within the way that they experience and individually act upon each of these in relationships.
Demisexuals do feel sexual or romantic attraction, but only after forming a close, emotional bond with someone. Demisexuals are people in the spectrum of being nonsexual, and who actually do experience sexual attraction, but generally only after they form a close emotional connection, often after you have established something that you would call love, or at the very least, strong, lasting feelings and experiences of romantic attraction. There are also various names for the various types of asexuality; Demisexuals are asexuals who desire to have sex only with someone to whom they feel strongly emotionally attached; Gray-As, or Graysexuals, have a very low sexual desire or very few instances of sexual attraction.
Some asexuals never have had sex or desire it; some masturbate but have no desire for partner-based sex; and some folks in the asexual spectrum are comfortable having sex with romantic partners. At some point, many people have questions or doubts about their sexuality and romantic orientation.
