Yes, you can e-file Form 8839, Qualified Adoption Expenses for the adoption credit. The software will help you generate that form to e-file with your return.
Per the IRS, "
You're no longer required to attach the adoption documentation with your tax return; however, you must keep the documentation as part of your records. The IRS encourages taxpayers to e-file their federal income tax returns. Form 8839 can be e-filed with Form 1040 or Form 1040NR. Consequently, taxpayers who e-file their tax returns need not print and mail completed forms to the IRS." You can find more details on that here https://www.irs.gov/taxtopics/tc607
