I am riding a 11-28 right now sram cassette.

Is it possible to change it to a 13-32. I want to remove the 11 and 12 for a 16 and a 32.

is that possible.

This link takes you to the SRAM website and shows you all the compatible components for road bikes:

https://sram-cdn-pull-zone-gsdesign....components.pdf

It doesn't appear they offer a 13-32 cassette; 12-32 is the best they can do if your bike is a 10-speed. If you're riding an 11-speed the options are more limited. If you decided to go with SRAM's 12-32 cassette you might have to replace your rear derailleur. Your local bike shop can tell you if that will be necessary or you could probably post a pic on this forum and get an answer as to whether it's a short-cage or mid-cage derailleur.

That said, Shimano and SRAM components are sometimes cross-compatible and Shimano may make a 13-32 cassette. The experts on this forum (I'm not one of them!) or at your LBS could probably help you out on that question, or check out the Shimano website/tech help.

Shimano & Sram are practically all interchangeable. Shimano makes rear freehub cogs with 32 teeth. Make sure your rear derailleur can handle the extra size. I put a Shimano extended range 7 speed w/34 teeth cog set on a bike recently. But, had to change out to a long cage RD.

If you were to take the lockring off your cassette, you'd see tiny splines on the 11T cog which help keep the lockring from loosening. The problem with your idea is that the other cogs on the cassette don't have those splines, so there is a chance that the lockring could come loose more easily. Miche makes replacement 1st-position cogs, so if you got a 13T cog intended for that job, it should work.

Also consider changing your crankset/chainrings to achieve the gearing you desire.

For example, if you have a "standard" 52/39, consider a compact 50/34. If running a compact, then maybe some MTB crankset with even lower gearing.