Yes, that is standard fast fuse/quick fuse that is sold to consumers on multiple websites. It is
not true quickmatch (need an ATF user license to purchase that). Each batch varies somewhat in exact burn rate, but burn speed range is usually shown on a sticker on the package. It's fast enough that precise speed in a short section for fire transfer between motors probably won't be an issue, but if timing needs to be precise, then you need to test it yourself. Cut off a few inches from the end before cutting additional quantities to measure and use--the ends sometimes get crushed in the cutting machine or dump powder in transit and are not always uniform burning. In small quantities, usual current pricing is a ridiculous $5 for a 20-foot roll (plus shipping), but for fire transfer in boosted rockets, that might last you quite awhile.
Sites like those also have various tubes for sale, both convoluted and spiral, but the thicknesses and weights are often much greater than you'd use in a typical LPR/MPR. But if you poke around at the specs, you might find some useful items that are a fraction of the price as standard motor mount/body tube/coupler tubes from rocketry shops. Might need to do some cutting or sanding to get them just right, though. Can never have too large an assortment of tubes!
Regarding an earlier comment about grinding down some 3Fg BP for ejection charges, well, that website (and others) also sell reasonably priced plastic-encased round screens of multiple mesh sizes that will allow you to quickly separate your powders into 3Fg, 4Fg...Meal D if it's that critical to you for setting up precise ejection charges. For my ejection purposes, 3Fg (grain size 0.29-0.84 mm) and 4Fg (0.15-0.42 mm) overlap a little in size range and are pretty similar in performance in smallish quantities. The 4Fg burns a tad bit faster, but they produce the same gas volume per gram (not volume), but both are plenty fast to pop a rocket recovery system. You might actually prefer the 3Fg for LPR/MPR purposes since it'll take a fraction of a second longer to burn and build pressure--slightly less rapid pressure buildup stressing your body tube but slightly larger granules that burn bigger holes if they are allowed to touch any flame-sensitive components (plastic/nylon chutes) if they're not adequately protected. BP mesh/mm sizes are tabulated at:
https://www.skylighter.com/blogs/fireworks-information/black-powder-grades-sizes-mesh . Be sure you don't confuse firearm/sporting goods store-grade Fg sizing with blasting FA sizing, or it could do bad things to your rocket. Oh, and that mesh sizing link provided above--I have never bought anything from that company in my life, and never will--they are easily 50-200% more expensive, for everything they sell, than every single one of its competitors.
Also. Gotta be careful with Visco fuse coat coloring as an accurate speed indicator.
Typically, fast fuse is grey. However, I've come across fast fuse that was dark green in a big box store in PA, and it looks exactly like slow-burning visco. This can get you in trouble if you mix up fast vs slow green fuse; especially if you were expecting slow and instead you got fast. Yipes. Mine is labeled plainly and kept separate so I never risk confusing them.
Safety first, PPE always. Eyes and hands are nice to have around.
Edited to add pricing information.