No. Always be honest and accurate with employers and start/end dates of employment. If you need a bit of anonymizing to avoid the wrath of your current company, get in touch with a recruiter instead and let him/her represent you.
It's not dishonest. It's also common in the industry to even sign a NDA to not disclose what company you're working for. Just don't use it to hint that you work for a big company which you're not in.
> It's also common in the industry to even sign a NDA to not disclose what company you're working for.
What industry are you referring to? Because it's definitely not the software industry.