The overwhelming majority of house wiring is 'daisy-chained', that is, groups of outlets are arranged in a 'branch' and connected together outlet-to-outlet. Perfectly normal stuff.
The problem isn't the 'daisy chain', it's that a couple of your connections have opened up. This isn't normal and points to a workmanship issue.
There's a couple of possibilities:
- Back-stab (poke-home) wiring via the outlets was used
- Aluminum wiring was used
The first possibility ranges between annoyance and potential safety problem. The issue is the push-in ("Quickwire") style is that the spring contacts fail with time and can cause a fire.
More here: What are "backstab" receptacles/outlets?
The fix is to re-make the outlets without the backstab, using side terminals only. It's not that difficult; it's within reach of a 'handy' DIYer. Someone with skill can do this in about 10-15 minutes per outlet.
Besides fixing the backstabs, it's worth it just to replace old, worn and broken outlets with newer, safer types.
The second possibility is more serious. If your house has aluminum wiring you should consider getting it redone in copper. Aluminum wiring has a couple of issues (expansion/contraction, oxidation) that causes connections to fail, leading to a fire. This is especially the case with outlet wiring, where connections on either back-stab or screw terminals would loosen up and get hot.
Aluminum wiring was used in some North American homes between the mid-1960s to the mid-1970s; especially in mobile homes. Numerous failures resulting in fires led to its abandonment for branch wiring by the late 1970s. It is still used today, but as a practical matter only for larger feeds.