Same rating system on the same site, so yes the ratings will usually be similar. The more you play, then usually the more accurate your rating becomes:
https://support.chess.com/article/210-how-do-ratings-work-on-chess-com
As for myself, yes my accounts are all close in rating. Just make sure to notify chess.com when creating a second account:
https://support.chess.com/article/596-can-i-have-multiple-accounts
If you have 2 accounts, are your ratings on both similar across all categories? In theory they should be or the grading system is not an accurate measure and should be replaced.