Yes, girls can and do approach guys they like first. In the realm of dating and relationships, gender roles are not as strict as they used to be, and societal norms are evolving. Traditionally, it was more common for guys to take the initiative and approach girls they were interested in, but nowadays, women often feel more empowered to make the first move as well.
Approaching someone you like can be nerve-wracking for anyone, regardless of gender, but many girls are confident enough to take that step. Just like guys, girls may initiate conversations, ask someone out on a date, or express their interest directly.
Every individual is different, and some people, regardless of gender, might be more proactive in pursuing their romantic interests, while others may prefer to wait for the other person to make the first move. It's essential to remember that there's no one-size-fits-all approach to dating, and people's preferences and behaviors vary widely. The most important thing is to respect each other's boundaries and preferences and to be open and honest about your feelings.