Yes, the Israelites suffered the first three plagues in the land of Egypt.
Because the Bible tells us clearly that God made a distinction between the Israelites and Egyptians from the fourth plague onward (Exodus 8:23), this means the first three plagues were common to all.
The Bible tells us that no one is truly innocent "for all have sinned and fall short of the glory of God" (Romans 3:23). So all deserve to be punished. And judgment starts with God's own people: "For it is time for judgment to begin with the household of God" (1 Peter 4:17).
This is why the Israelites were also punished during the first three plagues. Many of the Israelites probably worshipped Egyptian gods, because they were in the land of Egypt. In fact, even after they left Egypt, many of them continued to commit idolatry, with a golden calf for example (Exodus 32:35).
So the Israelites were not completely innocent (as no one is). And they deserved the punishment of the first three plagues.