Can I find 3~ minutes in 5 weeks for Half Marathon?

Yes, I think you can. You're young and relatively new, and you're putting in major mileage right now, and you have time for 2-3 more HM-specific workouts. If you've upped your mileage a lot (and it sounds like you have), you're coming into your workouts already somewhat fatigued. If you can stay healthy and hit your upcoming workouts, then taper and go into the race on fresh legs, and then stay patient for the first 8-9 miles instead of blasting off the start line, I think you've got a great shot at cracking 1:30.

Thanks! 3 weeks out Pete's program has me do a "mini-taper" with reduced mileage and race a 10k to assess my fitness but I'm wondering if I could just modify that week and do a VO2max workout and LT session and keep the mileage in the 80's before a 2 week taper.

I'm not willing to pay 50$ for a local 10k race and I doubt I'd be able to push myself hard enough in a time trial for the 10k to have its intended purpose. Is this a wise choice?

UPDATE:

So stoked about a long run workout that I just did today!

I did a 17 mile progression run with the last 3 at lactate threshold

Miles 1-14: 9:04 min/mile to 8:02 min/mile

Miles 15-17: 6:52 min/mile average

My HR was literally 5~ bpm lower on average for everything... It feels like I gained a bunch of fitness seemingly overnight

Why are you messing with 9 min pace if you can finish sub 7?

I'm following the long run guidelines in Pftizinger's plan. Normally it's only the first 2 miles that are near 9 min/mile for warm up purposes then I start to dip to mid to low 8's near the middle of the run