Is there a possibility to get competitor website traffic info?
Here are some services I know of where you can find traffic info:
I also like SEMRush for drilling down on the specific keywords (paid or un-paid) and rankings that are driving traffic. There are also some paid services that offer competitor traffic estimates, if you can afford $10k per month then check out comscore. The following article provides an excellent summary of their methodologies and limits of their accuracy.
You can find some important metrics of your competitor at Open Site Explorer by MOZ.
yes, there is... in a way :) If they have at least 1 Google product on their page (except Analytics, or they share Analytics data), you can use this
Google Adplanner. Google has discontinued Google Adplanner and is know as Google Display Planner, of which can be found within the Adwords Dashboard.
There are ways to get an idea of where their traffic comes from. Take a look at their meta keywords, if they have them, to see what keywords they may be targetting. Also get a look at the market they are trying to target.
Take a look at their backlinks, too which can also give you an idea of what keywords they are chasing after.
Tools like Alexa can help you get an idea what their market is and what keywords people are using to end up on their site. Don't stop at Alexa either, there are several others such as Quantcast that pick up totally different statistics.
You won't be able to see anything as accurate as their Google Analytics account, but you will get an idea of what they are targetting. Once you do that, go to Google Analytics to see what kind of traffic their keywords get based on their SERP for each keyword.
Currently, there are several competing websites that give you traffic estimation. Let me add to the answer from Simon Hayter: