:Well... That's kind of a tricky question. Swedish of today has many english loan words, and English is arguably the one language that has influenced Swedish the most, at least in recent times. Earlier in history, languages such as French and German have had more influence, as they were spoken by the nobility and other "learned" citizens. But aside from the more or less "artificial" changes that have been brought to Swedish through the influence by other nations/languages, it is more closely related to German than to English. Swedish and German are both germanic (which probably goes without saying for German) languages. German is categorized as West Germanic, while Swedish belongs in the group called North Germanic). And as far as I know, English belongs to the same group as German, ie West Germanic. But Swedish is a lot more closely related to German than to English, while English is a lot closer related to German than to Swedish. German is the language that is most closely related to Old Germanic, which is the language that all germanic languages are derived from. Or, German might be considered the language that links English to Swedish. An example: With Swedish as your natural language, you do have a basic understanding of other Germanic languages, such as Dutch and German. But those (with Swedish as their mother tongue) who speak no foreign language at all, usually find it a lot easier to understand German than English. But since children in Sweden start learning English when they're nine or ten years old, it might be easy to draw the conclusion that Swedish is closer to English than to German, simply because so many Swedes of today understand and (believe they know how to) speak English. 

 :I'm not really sure if this was helpful, or if I only added to the confusion. This is what I once learned in school, and I have never had any reason to doubt what my old school teachers told me. Finding sources for what I've written can be a bit tricky, though. 

 :And before I forget - We should also remember another language have influenced English (along with many other european languages) a great deal - Latin. Roman conquests, occupation, and so on have added a few "latin touches" to many european languages. But since Scandinavia was considered to be the *ss-end of nowhere during the days of the Roman empire, and the Germanic tribes were considered too barbaric to conquer and assimilate, the language(s) spoken here (Norse) and there (Germanic) were never that much influenced by Latin. Latin didn't enter scholary (and never common) use in Sweden until about a thousand years ago, when Christianity were starting to gain ground. Which is a great contrast to many countries in central and western Europe, that were christian for centuries before it was even heard about in Scandinavia.  

 :Or, if you prefer the short version: No. /