Is it possible to lose 49 lbs in 6 months??

So I started my weight loss journey January 25th of this year and the last time I weighed myself was March 5th and I have lost 23 pounds so I now weigh 209lbs and I'm truly happy and proud of myself for the progress I've made and I can't even remember the last time I actually weighed less than 215lbs and now that I'm down to 209 I have 49 pounds left to go to get to my goal but I wanted to lose it before going on vacation which is in September and me and my sisters, uncle and niece are going a music festival and since this is our last year we're gonna be going there for a while I wanted to wear some festival appropriate clothing, you know kinda like what ravers wear but I wanted to lose the weight so I can look and feel good in it bc I wanna feel confident cuz no outfit looks good without there being some confidence in there. I'm a little nervous that I won't be able to get to my goal in time cuz I at least wanna get to 165-170lbs before we leave for vacation, and I still plan on continuing my routine even after our vacation of course bc I wanna keep my body fit and not go down another loop again. I have a strict workout routine that burns at least 1,200 calories a day but sometimes if my muscles are hurting too much I only do half with burns 700 calories and I've been in a calorie deficit and eat about 500 calories a day bc now that I'm actually eating REAL food it keeps me full and energized and my metabolism has become more faster. I realized that the more weight I lose the more my knees hurt less than before bc I had severe knee pain and I was confused about it bc I'm only 16 and already having joint pain confused me a lot but my knees don't hurt as much as they did before and of course they still hurts sometimes but they are doing much better than before. But like I said I am a little worried about not losing weight in time for vacation and sometimes I think it's not possible bc my family says they notice the difference between before my journey and how I look now but I just can't see what they are seeing and it makes me feel like I'm not doing enough work but I learned my lesson from overworking myself bc my strained my back, my arms and core muscles and I had to take a two day break I'm getting off track but like the title says, is it really possible for me to lose that much in 6 months?? And if possible I would really appreciate any tips to get to my goal 🙏🏽