Yes, you can do it, but if this is your first time, you will have some
difficulty. You may want to see if there is a sample database that does that.
Open Access, click on help and look for sample databases. You will find an
entry "Sample Access Databases that you can download and adapt"
I would start there. If there is not one specific for that, download a
contact management database and you can add the donation tracking to that.
Having some examples to work from will help.
Your boss may be optimistic. Unless you are familiar with Access or at
least have an understanding of relational database design, it will be a
struggle. However, keep asking questions on these sites and I am sure you
will get through it.

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Dave Hargis, Microsoft Access MVP
> My boss wants me to build a database for people who donate money to us (which
> I've never used Access until now). He wants me to set it by months, the
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> so Access should. Could anyone help me with this? Am I even headed in the
> right direction? Thanks so much.