Absolutely, an attractive guy can approach an attractive girl. It's not only about attractiveness, though; anyone can approach anyone else, given that they do so in a respectful, polite, and appropriate manner. Here are a few tips on how to do this:
Respect boundaries: Don't approach anyone in a way that makes them feel cornered or uncomfortable. Make sure the situation is appropriate, such as a social gathering, rather than an environment where they might not want to be disturbed (e.g., while they're working, exercising, or wearing headphones).
Open with a friendly comment or question: This can be about the situation you both find yourselves in, a compliment (not overly personal or sexual), or a question about something they're interested in (if you know their interests). For example, you could say, "I couldn't help but overhear you talking about [shared interest], I'm a big fan too, have you heard about [related topic]?"
Be genuine: Don't pretend to be someone you're not just to impress the person. Authenticity is attractive and you want any potential relationship to be based on who you truly are.
Non-verbal communication: Pay attention to your body language and theirs. Smile, maintain friendly eye contact, and keep your posture open. If they appear uncomfortable or not interested (e.g., avoiding eye contact, giving short responses, turning away from you), respect that signal and give them space.
Be confident but not arrogant: Confidence can be attractive, but arrogance isn't. Be sure to strike a balance. Show interest in her, ask about her opinions, and listen to her responses.
Accept rejection gracefully: Not everyone you approach will be interested or available. If she's not interested, respect her decision and respond graciously.
Remember, everyone is different. What works when approaching one person may not work with another. The key is to be respectful, genuine, and attentive to the other person's comfort and responses.