Can Google Index Internal Search Strings?

[Poprad]

Sometimes I use search strings as links to my products.
For example: http://website.com/searchproducts.as...t_on=&sort_by=

This is the link that's generated when someone searches for clocks on my site. Since the results are good, I'll use that as a link on the front page to my clocks listings.

Any chance of seeing that URL showing up in Google, or any search engine?

Thanks...