The fastest way to teleport in vanilla Minecraft is though Nether.
From the Minecraft Wiki:

Locations in The Nether correlate to Overworld coordinates, but Nether distances are scaled down by a ratio of 8:1. Therefore, traveling one block in the Nether means traveling eight blocks in the Overworld. This fact can be used as an Overworld travel shortcut, though the Nether is significantly more hazardous, with more complex terrain, making navigation difficult.

With the simple calculation of 5000000 / 8. One would need to cross ~625000 blocks. Other sources from the wiki about sprinting and walking indicate:

Sprinting is a method of transportation that allows the player to move faster, around 5.6 meters/second. This is about 1.3x faster than the normal walking speed of around 4.3 m/s.

Now again with math if someone ran ~625000 blocks (Straight with no interruptions) it would take ~111607 seconds or ~31 hours.

I don't think anyone will waste ~31 hours running to your house. Other than the neither I know of no other ways to bypass distance without the use of commands and or command blocks. Hope this helps.

The fastest way to teleport in vanilla Minecraft is though Nether.
From the Minecraft Wiki:

Locations in The Nether correlate to Overworld coordinates, but Nether distances are scaled down by a ratio of 8:1. Therefore, traveling one block in the Nether means traveling eight blocks in the Overworld. This fact can be used as an Overworld travel shortcut, though the Nether is significantly more hazardous, with more complex terrain, making navigation difficult.

With the simple calculation of 5000000 / 8. One would need to cross ~625000 blocks. Other sources from the wiki about sprinting and walking indicate:

Sprinting is a method of transportation that allows the player to move faster, around 5.6 meters/second. This is about 1.3x faster than the normal walking speed of around 4.3 m/s.

Now again with math if someone ran ~625000 blocks (Straight with no interruptions) it would take ~111607 seconds or ~31 hours.

I don't think anyone will waste ~31 hours running to your house. Other than the neither I know of no other ways to bypass distance without the use of commands and or command blocks. Hope this helps.