Yes, the process is to file N-400 form and provide bonafide marriage evidence:
1) Joint tax return transcripts for 3 years
2) Evidence of financial comingling (joint bank account statements, joint assets)
3) Evidence of living together for the past 3 years (joint lease, or joint mortgage)
4) Other proof of marriage
5) Current marriage certificate
6) If you or spouse were divorced before, provide divorce certificates
You can file N-400 after being resident for 3 years and married to US citizen for 3 years (if you lived together all 3 years) and if you didn't have any trips over 6 months in the last three years and spent more than 18 months in the US in the last 3 years.