Can I still get my citizenship if I have been arrested twice for driving on suspended license?

Significantly more information is needed in order to provide a legal analysis of naturalization eligibility. Arrests for failing to pay speeding tickets can be viewed by the USCIS as a lack of attachment to the laws of this country and as reflecting a lack of good moral character. The dates of the offenses, the court outcomes of the offenses, other "blemishes" in your record, other evidence of good moral character, etc. may be key details in assessing eligibility. There really is no substitute for you to consult with an immigration attorney who, after learning all of the relevant information, could advise about eligibilities, options and strategies to attain your goals, and who then could offer legal representation in the often complex application process.