It is possible for a girl to still love you even though you both argue a lot, as relationships and people are complex, and people's feelings can change over time. However, it's important to understand that arguing a lot can be a sign of deeper issues in the relationship and it's important to address them to ensure the relationship is healthy and sustainable.
Arguing is a normal part of any relationship, but it's important to learn how to argue constructively and respectfully. Both parties should be willing to listen to each other, express their feelings, and work towards finding a solution that works for both of you.
If the arguing is becoming frequent and intense, it might be a good idea to seek the help of a therapist or counselor who can help you both understand the underlying issues and work towards resolving them.
It's also important to remember that love is not just about the good times, but also about being able to navigate challenges and conflicts together. So, if both parties are willing to work through the issues and still love each other, the relationship can continue to grow and flourish.