Sure they can, just like they can be Republican in view of economic policies that favor the rich, pro-death penalty stance, and some lack of sensitivity to the underprivileged.
I’m registered Dem but as a thoughtful person I agree with the party on some issues and agree with the other party on other issues and judge individual candidates individually. I never just go vote a straight ticket, I don’t know who would other than some politician with party loyalty overshadowing all.
I agree it was easier for Catholics to support Dems when it was primarily the party of European immigrant workers’ rights and not so much the party of 1000 special interest groups including abortion, but even back then we knew Catholics, primarily rich doctors and businessmen, who were Republican.
I remember a lot of debates over whether Catholics should vote for Reagan because on the one hand he was anti-abortion and anti-Communist, but on the other hand his economic policies favored the rich, he seemed to carry risks of getting us into a nuclear war, and he was a fallen-away Catholic who was divorced and remarried. Some Catholics voted for him and some, like my parents, did not. As either position was reasonable in view of one or more Church teachings (similar to the last election ), there wasn’t a clear path for Catholics. We use our conscience, make the choice that seems best, and accept that we don’t all think in lockstep.