You have to create them that way.
If you draw all of your Levels from left to right, the Heads will all be on the right.
But if you create one Level from left to right and the next one from right to left, they will be different in EVERY new View you create.
Ditto for grids. Draw them all from bottom to top.
Once they are created, there's no way to switch them around.

Well, OK, there is one way, but it's messy and doesn't always work.
Use at your own Risk
I've has occasional success Mirroring a Grid (haven't tried it with Levels)
Select a Grid.
Make sure it's displaying 3D extents
Pick the Mirror Draw Axis tool
Uncheck Copy on the Options Bar
Pick a point towards the middle of the Grid. (You will not be able to Snap to Midpoint.)
Pick the second point perpendicular to the Grid
That might flip the grid, but it doesn't always work, and may have other unintended consequences. It will definitely lose any Dimensions to that Grid and my screw things up if you have anything Locked to the Grid.
And, if you've already changed the boxes for which end shows the bubble, you'll have to change those back again.

Edit:
Yeah, just tested with Level. You're going to delete everything associated with that Level.
DON'T DO THIS WITH LEVELS

What Dave said. You can pick which end has the symbol by default in the type properties (first point, second point, or both). Updating the type properties updates all the levels in the project however, so that's not an easy way to make them all consistent! Obviously, you can update each one individually in each view, but consistent results demand a consistent workflow.

I believe rotating grids 180° works without deleting associated dimensions, but test at your own risk.

I think you can change it with dynamo and maybe some python nodes.

Can I link to the dynamo BIM forum? I think I found a thread that could be useful. If not just search there for bubbles on off maybe.

Link away!

BAM!
https://forum.dynamobim.com/t/grid-bubble-on-off/18435
BAM BAM!
https://forum.dynamobim.com/t/hide-g...in-view/4977/3

These might help. Python is a little bit over my head right now but I hope soon to make a node that flips bubble of selected grids from one end point to another.