That... doesn't sound normal. You didn't happen to pick this up from a random gas station or something did you? Dispensaries around where I live have delta8 carts, they're quite popular actually, but ones from gas stations, even smoke shops in odd states have been known to have suspect "brands." There's like this whole subreddit that goes into which ones are OK and which ones aren't. I've done delta8 from my dispensary and didn't feel anything like this, it just felt like delta9 basically, milder and I had to hit it more to get stoned, but once I reached that point I could hardly tell the difference.
I can tell you I've had a similar experience from some black market dab pens back in 2018 though where my hands would go completely numb, it would freak me out. I later learned it was one of those sketchy ones full of god knows what, I think it might've been those Vitamin E ones. I got rid of it fast.