Can I export HAR file from Chrome Dev tools, which contains only the filtered requests from Network tab?

This is currently not possible in Chrome DevTools:

DevTools saves all requests that have occurred since you opened DevTools to the HAR file. There is no way to filter requests, or to save just a single request.

Ref. https://developer.chrome.com/docs/devtools/network/reference/#save-as-har

However, since a HAR file is just a JSON, you can use something like jq to extract the requests you are interested in.

Let's say that you exported a HAR file from a Wikipedia page and called it wiki.har. Here is how you can create a HAR file containing only the requests for the images on that page:

cat wiki.har | jq 'del(.log.entries)' > wiki-with-no-entries.json
cat wiki.har | jq '.log.entries | map(select(._resourceType == "image"))' > image-entries.json
cat wiki-with-no-entries.json | jq '.log += {"entries": $myEntries}' --argfile myEntries image-entries.json > wiki-with-image-entries.json

Note 1: _resourceType can be document, image, font, stylesheet, script, other (maybe more? I could not find any documentation about this).

Note 2: the jq documentation recommends using --slurpfile instead of --argfile. However, --slurpfile here would create entries:[[]], while --argfile creates entries:[] (which is what you need). This is probably just me not knowing too much jq though...

See also:

• Create a har file with xhr request only in chrome dev tools

You could give webQsee (https://webqsee.com) a try. It allows you to export filtered events. HAR format is one option. Additional options are Excel (also contains console outputs) and "Behavior Reports". They combine network and console output with the screen video.