There are several different options you can choose.

[kadioguy]

There are several different options you can choose.
https://www.oxfordlearnersdictionaries.com/definition/english/choose?q=choose
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a. There are several different options you can choose.
b. There are several different options you can choose from. [my version]

Do both work and mean the same?

 

[Barque]

They both work.

I suppose the second is technically more correct if the other person needs to choose just one from several. But in real life I think the first's just as likely.

 

[Tarheel]

I would use the second one. However it's more likely that I would use neither. I might say: "You have several choices."

 

[tedmc]

I think the original is more wordy and more likely to be used for official purposes, to sound more formal. Tarheel's simple version says the same thing.
"Options you can choose from" is a bit superfluous. Of course options are meaning for choosing.