Can the internet run out of IP addresses?

Yes IPV4 it is getting more and more depletted with the huge amount of hosts ( PCs, IP phons, Smartphons , Tablets etc..) requiring for IP addresses . in  the meantime there are some temporary  solutions such  NAT PAT could help with translating private IPV4 addresses into public ones . otherwise a migration for the IPV6 would be the perfect solution for this issue .

   I agree that with Internet Protocol version6 (IPv6), we will not run out of IP addresses anytime soon. IPv6 replaced IPv4 which ran out of addresses back in.  IPv4 had a supply of4.3 billion addresses but multiple devices such as smartphones, gaming consoles, tablets, and PC's  quickly took up the allotted spaces.

  Now we have IPv6 which uses a-bit address and guarantees us a virtually limitless supply. We will need it for next wave of devices - the Internet of Things (IoT).

The answer (yes) can deplete these addresses with the ongoing development of the Internet and the addition of new titles

Unfortunately, the answer is Yes

Primarily, IP addresses are the four-number strings like 74.125.224.72 that you'll sometimes see in your browser's address bar, in the guts of your smartphone's system settings, or that you might be asked to type in to your cable modem or WiFi router. That address, 74.125.224.72, is one of many that should take you to Google.com. It's like the highway system. If you're driving through a city, you might take Interstate 95 or I-190 or I-287. But in plain English, it's all the State Thruway.

For example, In North America The organization that assigns IP addresses — the numbers that identify every computer, smartphone and device connected to the Internet — ran out of numbers. It's not the end of the world, because there's a newer, more robust system rolling out, but it's a milestone in our shared online history, nonetheless.

Indeed, there are five huge nonprofit regional organizations that hand out those addresses around the world. For the first time, the American Registry for Internet Numbers, in charge of North America, had to turn down a request for a block of addresses because it didn't have enough. So it activated its "Unmet Request Policy," it said — basically saying sorry, but if you want all of those requested addresses, you'll have to sit on ARIN's waiting list until they somehow become free or buy them on the open market!!!

My information, it is necessary and can't run without.

The internet has run out of space — but, thankfully, we've already made some more. The infrastructure powering the internet was made with space for 4.3 billion addresses. That seemed like a lot at the time, but we've now got too many devices and the IPv4 protocol has run out of space

No it cannot possible run out of IP addresses 

No without IP, we can't use internet. We can use multiple softwares like hide ip, hide proxy but it still use an IP. Internet protocol is an identification or entry path of a user. Without configuring on internet, you can't be able to connect with internet. 

may be yeah

or

may be not

There is a hucker every where

The Internet is running out of room, so-called IP addresses, that can be assigned to ...