No, not to my knowledge. I understand the limitation to be on the receiver. That is, you can either receive as a gift or purchase for yourself no more than $10k per year. But you can purchase as a gift as much as you like.
Gifts are received and count against the receiver's limit when they are "delivered". Bonds are delivered as and when the giver chooses. So the $20k in gift bonds I purchased for my wife this year will be delivered in two chunks - $10k(plus accrued interest) on 1/1/23 and another $10k (plus accrued interest) on 1/1/24. And the $20k she bought as gifts for me will be delivered in two chunks on each of those dates as well. Assuming those gifts are delivered on those dates, then we each will not be able to purchase our own I bonds in 2023 or 2024, because the gift will have already maxed us out.
To summarize, I and my young wife currently have in our gift boxes, awaiting delivery to the other, $20k in I-bonds purchased over the past two months (so a total of $40k in purchased gits between the two of us). We will most likely each purchase another $10k gift next week, which will have to stay in the gift box until 1/1/25. (which means we each will have purchased $10k for ourselves this year and $30k as gifts this year).
The upside is that we capture the interest rates now, and the clock starts on the one year redemption period and 5 year interest penalty period. The downside is that we can't redeem those gift bonds until they are delivered to us, so we are locking up $20k until 2023, another $20k until 2024, and likely another $20k until 2025. And I-bond interest rates could plummet in the intervening period.
In essence, we are prefunding three years of purchases.