yes.they are both athropods...but cockroaches are insects and lobsters are crustaceans.
Cockroaches are distantly related to arthropods such as spiders (arachnids) and crustaceans (shrimp, crabs and lobsters). Cockroaches are insects (Class Hexapoda) and lobsters are decapod crustaceans (Class Crustacea). The term 'roaches of the sea' reflects the behavior of lobsters as omnivorous scavengers. Cockroaches will eat almost anything organic and so will lobsters. They clean up the dead and dying plants and animals in their environment.
You can be allergic to both but being allergic to one does not mean you will be allergic to the other.
Insects and Lobsters
yep
Insects and Lobsters
Lobsters eat live food fish, molluscs and other invertebrates.See Related Link.
Ladybugs and cockroaches are in the same family (insects) but not the same Genus due to their obvious differences.
Hermit crabs are most related to spiders, lobsters and crabs.
Isopods are crustaceans, as are lobsters. Crustaceans are a class in the phylum Arthropoda. Fish, however, are a class in the phylum Chordata, or vertebrates. So, not related to isopods, or lobsters. ^^
Insects and lobsters. They're both arthropods. Birds are in a completely different phylum.
They are similar creatures, yes. They are both exoskeletal (have their skeletons on the outside), so they both belong to the Phylum Arthropod (Linnaean taxonomy classifies living things into Kingdoms --> Phylum --> Class --> Order --> Family --> Genus --> Species). For more on Linnaean taxonomy and Arthropods, see the Related Links below.