Probably not.
Either way it will cost you a lot of time and money to find out. (The process involves getting hold of a copy of your police record and attending at least one interview at the US embassy in London and can take many months).
We've had a post here on AB from someone whose husband had two convictions for driving without insurance. His visa application took a total of 18 months to get through all of the relevant procedures, only for it to be refused. So I strongly doubt that you'd get a visa. If you want to try though you'll probably need to start your application at least two years before you intend to travel in order to leave you sufficient time to book your travel after hearing the result of your application.
(BTW: Once the ETIAS system, for entry into EU countries, comes into effect in 2021, you'll also need to apply for your ETIAS - which is roughly equivalent to the US ESTA - in plenty of time as it's likely that you'll be included within the 5% of applicants where 'additional processing', or outright refusal, will apply)