Yes, but there's usually not much benefit
Certain spells have a special tag: ritual. Such a spell can be cast following the normal rules for spellcasting, or the spell can be cast as a ritual. The ritual version of a spell takes 10 minutes longer to cast than normal. It also doesn't expend a spell slot, which means the ritual version of a spell can't be cast at a higher level. (Basic Rules)
Since ritual spells can be cast without using a spell slot, a wizard is limited in how many they can cast per day only by time (normal cast time + 10 minutes per cast) and any costly components used in the spell.
Since this way of casting bypasses a caster's normal limits (spell slots), most ritual spells are either not all that impactful (or at least not that impactful when cast multiple times), or use other methods of limiting their use.
Detect Magic, for instance, is a useful spell, but probably doesn't see a use more than once or twice a day.
Tenser's Floating Disk can create multiple carrying disks if repeatedly ritual cast, but each only lasts an hour, putting a limit of 6 simulaneous disks per ritual-casting wizard.
Find Familiar, which you mentioned, explicitly says in its text:
You can’t have more than one familiar at a time.
So to answer your question: the ritual casting feature does not limit how many rituals you can cast - but you will rarely find it useful to spam rituals.