The short answer is yes, but it's extremely expensive.
The long answer is complicated.
So, options data that you've seen so far is almost always sourced from OPRA, which consolidates data from all of the US equity option exchanges.
OPRA is a L1 feed that publishes the top of book and last sale of every venue and the NBBO. You can overlay and aggregate the top of book of every venue to make it look like a L2 price ladder, but that's only going to be a fraction of the sweep liquidity actually available at those prices. So it's not really a L2 feed.
In fact, it might surprise you but
both Robert and you are showing screenshots of L1 feeds, not L2 feeds. You can verify this from observing that every MPID/market center only shows up exactly once on each side of the book. This is obviously untrue, Arca for example has a lot of depth at multiple levels in a liquid ETF like QQQ.
(Your screenshot is more nuanced, it does show Nasdaq occurring multiple times, but other venues only once. It appears that it's not distinguishing between Nasdaq, BX and PSX properly. This suggests that your provider is providing Nasdaq Basic NLS+, Nasdaq Basic plus the SIPs, or Nasdaq TotalView+the SIPs which results in this particular combination of L1 quotes or partial combination of Nasdaq L2 with L1 from other stock venues.)
If all you want is this, then
Databento has it; a few other vendors provide this too. You can see from our pricing calculator that it's about 700 GB uncompressed per day.
If what you want is a true L2 feed, you'll need the prop feeds. But unlike equities where prop feeds are more readily available, options prop feeds are rarely used by individuals. The reason is multifold: (i) OPRA is already a massive data feed that most vendors cannot keep up with or store. Providing the prop feeds would be even more challenging. (ii) The prop feeds are licensed in a manner that will subject most people to significant fees. See for example Cboe Book Depth, C2 Book Depth, BZX Options Depth internal distribution pricing
here.