Can I create recurring tasks without using process definitions?

Hello Brittany
Could you explain in detail what business task would you like to solve? 
It will help to suggest an optimal way. 

Regards,
Mykola

Sure!

We have a customer journey task under an opportunity for providing performance updates. Currently the account manager is reassigning to the media buyer once a week as a prompt to request those numbers. In order to automate that we were trying to find a way to either have the task reassign to the media buyer every Tuesday through the end of the campaign as a prompt to put the numbers in OR have the task recreate itself and assign it to the buyer each week on Tuesdays through the end of the campaign.  

Sure!

We have a customer journey task under an opportunity for providing performance updates. Currently the account manager is reassigning to the media buyer once a week as a prompt to request those numbers. In order to automate that we were trying to find a way to either have the task reassign to the media buyer every Tuesday through the end of the campaign as a prompt to put the numbers in OR have the task recreate itself and assign it to the buyer each week on Tuesdays through the end of the campaign.  

Thanks, Brittany

Further to use a scheduler, as Jeff recommended, I would suggest reviewing the following option: use not Task but Call because Call can be configured as "recurring" out-of-the-box. Perhaps, this helps to meet your needs.

Of course, both options ("Scheduler" and "Call instead of Task") have pros and cons and require taking into account do you use the Sugar Customer Journey plugin or not; is calendar syncs or not; is a media buyer user or external contact; what data can be changed during a campaign: media buyer, the end date of the campaign, etc.; what should be controlled by a manager: timely performance update or just new numbers of performance; etc.

I hope this helps you to choose an optimal way to solve this task.
If you need help, feel free to contact me.

Regards,
Mykola