I don't believe you can change Robohelp's behaviour, but you can use regular expressions to find the text.
For your example, if you don't know regular expressions, the easiest way to achieve it would be to copy the code into a text editor so you can remove the line breaks and replace all the spaces with \s*. This means "find zero or more white space characters". White space includes spaces, carriage returns, line feeds, etc. This is basic and won't find examples with any variations (e.g. different border size) but will let you find specific examples where the main hurdle is the extra spacing and line breaks.
So you'd end up with:
<img\s*src="Plus_Button.jpg"\s*alt=""\s*style="border:\s*none;"\s*border="0"\s*/>
NOTE: Make sure you take a backup before you run any Replace All actions and check multiple affected topics to make sure nothing untoward has happened.
Paste the resulting text into the Find box and make sure the Use checkbox is ticked and Regular Expression is selected. You might have to click the Show Options icon to see this option.
If you want greater control, TextCrawler is a great app, and has a nifty test function where you can paste in several examples while you work on your regular expression, to make sure you are finding all correct instances before you (accidentally) run the script on your production project (
).
HTH.