Is it a good idea to introduce yourself to your buddies girlfriend?

I get a lot of girls because I’m an attractive looking guy, so my friends know a lot of girls like me. But anyways, I have a lot of friends, and I’m always weird when they bring their girlfriend with them or if they happen to be around them. Do I introduce myself to them? Or should I wait for them to introduce me to them? I made a lot of guys jealous in the past, so I’m always not wanting to push my boundaries.
Is it a good idea to introduce yourself to your buddies girlfriend?
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