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Yes, but incrementally.

Restrictions on weeks of gestation (age of baby.)
Ban abortions based on developed capacity of baby (heartbeat, brain waves).
Strict limits on who can perform abortions, only MD's (no OPs, PAs, NPs, CNMs, etc.)
Restrictions on age of mother (minors must get both parental and partner consent.)
Married women living with spouse must get spousal consent.
Mandatory county, state and federal reporting requirements including detailed demographics and wellness follow-up on each patient.
Ban public funding or any kind to any organization that provides abortions (a biggie.)
Restrictions on private insurance coverage (make it easy for most people to opt for plans that do NOT offer elective abortion.)
Restrictions on doctors who can do them (e.g. must have admitting privileges at a hospital 25 minutes away or less.)
Ban specific abortion methods (e.g. no D&E, D&X, Partial-birth, Saline, etc.)
Restrictions on abortion pills --- this is becoming increasingly important.
Doctors and nurses must provide full information that a medical (pill) abortion can be reversed within 24-48 hours if the second pill (Cytotec) has not yet been taken.
Ban abortion advertising.
Restrict crossing state lines to get abortion.
Ban collecting, selling, offering, distributing baby cells, tissues or body parts for any reason (research, etc.)
Abortion-seeking women must meet at least once (via Video? Skype? Anonymous interview?) with adoption-seeking couples.
Detailed informed consent, comparable to what they have to give you for a gastric bypass (including sonogram viewed by pregnant mom.)
Failure to offer complete informed consent makes the abortionist liable for damages, or even better, prosecutable for homicide.
Robust public support for alternatives (e.g. adoption.)
Public support for family-formation (marriage of unmarried partners); link all public benefits to marriage.
Middle school and high school health classes should teach that abortion kills a child after his life has begun. (Planned Parenthood literature stated that before Roe vs Wade!!)
Zoning restrictions for free-standing clinics.
Requirement that clinics meet all standards for ambulatory surgery centers.
Tax, defund, and regulate the abortion profiteers out of existence.

There's a lot you can do on many fronts, much of it directly related to patient health & safety and consumer protection, even in severely pro-abort states, even if you can't do it all at once.